Edit in JSFiddle

$(document).ready(function (){
   var table = $('#example').DataTable({
      'columnDefs': [
         {
            'targets': 6,
            'data': null,
            'searchable': false,
            'orderable': false,
            'defaultContent': '<button type="button" class="btn btn-primary btn-edit">Edit</button>'
         }
      ]
   });
   
   // Handle click on "Edit" button
   $('#example').on('click', '.btn-edit', function(){
      // Reset form
      $('#form-edit').get(0).reset();
      
      // Store current row
      $('#modal-edit').data('row', $(this).closest('tr'));
      
      // Show dialog
      $('#modal-edit').modal('show');
   });
   
   // Handle modal shown event
   $('#modal-edit').on('shown.bs.modal', function (e){
      // Get row data
      var data = table.row($(this).data('row')).data();
      
      // Set initial data
      $('#edit-name').val(data[0]).focus();
   });

   // Handle form submission event
   $('#form-edit').on('submit', function (e){
      e.preventDefault();
      
      // Hide dialog
      $('#modal-edit').modal('hide');

      // Update table data
      var row = $('#modal-edit').data('row');
      var data = table.row(row).data();
      data[0] = $('#edit-name').val();
      table.row(row).data(data).invalidate();
      
      // Refresh table
      table.draw(false);
   });
});
<div class="container">
    <h4>
       <a href="https://www.gyrocode.com/articles/jquery-datatables-why-click-event-handler-does-not-work/">jQuery DataTables – Why click event handler does not work</a><br>
       <small>Problem</small>
    </h4>
    <hr>

   <table id="example" class="table table-striped table-bordered" style="width:100%">
       <thead>
           <tr>
               <th>Name</th>
               <th>Position</th>
               <th>Office</th>
               <th>Extn.</th>
               <th>Start date</th>
               <th>Salary</th>
               <th></th>
           </tr>
       </thead>
       <tbody>
           <tr>
               <td>Tiger Nixon</td>
               <td>System Architect</td>
               <td>Edinburgh</td>
               <td>61</td>
               <td>2011/04/25</td>
               <td>$320,800</td>
               <td></td>
           </tr>
           <tr>
               <td>Garrett Winters</td>
               <td>Accountant</td>
               <td>Tokyo</td>
               <td>63</td>
               <td>2011/07/25</td>
               <td>$170,750</td>
               <td></td>
           </tr>
           <tr>
               <td>Ashton Cox</td>
               <td>Junior Technical Author</td>
               <td>San Francisco</td>
               <td>66</td>
               <td>2009/01/12</td>
               <td>$86,000</td>
               <td></td>
           </tr>
           <tr>
               <td>Bradley Greer</td>
               <td>Software Engineer</td>
               <td>London</td>
               <td>41</td>
               <td>2012/10/13</td>
               <td>$132,000</td>
               <td></td>
           </tr>
           <tr>
               <td>Dai Rios</td>
               <td>Personnel Lead</td>
               <td>Edinburgh</td>
               <td>35</td>
               <td>2012/09/26</td>
               <td>$217,500</td>
               <td></td>
           </tr>
           <tr>
               <td>Jenette Caldwell</td>
               <td>Development Lead</td>
               <td>New York</td>
               <td>30</td>
               <td>2011/09/03</td>
               <td>$345,000</td>
               <td></td>
           </tr>
           <tr>
               <td>Yuri Berry</td>
               <td>Chief Marketing Officer (CMO)</td>
               <td>New York</td>
               <td>40</td>
               <td>2009/06/25</td>
               <td>$675,000</td>
               <td></td>
           </tr>
           <tr>
               <td>Caesar Vance</td>
               <td>Pre-Sales Support</td>
               <td>New York</td>
               <td>21</td>
               <td>2011/12/12</td>
               <td>$106,450</td>
               <td></td>
           </tr>
           <tr>
               <td>Doris Wilder</td>
               <td>Sales Assistant</td>
               <td>Sidney</td>
               <td>23</td>
               <td>2010/09/20</td>
               <td>$85,600</td>
               <td></td>
           </tr>
           <tr>
               <td>Angelica Ramos</td>
               <td>Chief Executive Officer (CEO)</td>
               <td>London</td>
               <td>47</td>
               <td>2009/10/09</td>
               <td>$1,200,000</td>
               <td></td>
           </tr>
           <tr>
               <td>Gavin Joyce</td>
               <td>Developer</td>
               <td>Edinburgh</td>
               <td>42</td>
               <td>2010/12/22</td>
               <td>$92,575</td>
               <td></td>
           </tr>
           <tr>
               <td>Jennifer Chang</td>
               <td>Regional Director</td>
               <td>Singapore</td>
               <td>28</td>
               <td>2010/11/14</td>
               <td>$357,650</td>
               <td></td>
           </tr>
           <tr>
               <td>Brenden Wagner</td>
               <td>Software Engineer</td>
               <td>San Francisco</td>
               <td>28</td>
               <td>2011/06/07</td>
               <td>$206,850</td>
               <td></td>
           </tr>
           <tr>
               <td>Fiona Green</td>
               <td>Chief Operating Officer (COO)</td>
               <td>San Francisco</td>
               <td>48</td>
               <td>2010/03/11</td>
               <td>$850,000</td>
               <td></td>
           </tr>
           <tr>
               <td>Shou Itou</td>
               <td>Regional Marketing</td>
               <td>Tokyo</td>
               <td>20</td>
               <td>2011/08/14</td>
               <td>$163,000</td>
               <td></td>
           </tr>
           <tr>
               <td>Michelle House</td>
               <td>Integration Specialist</td>
               <td>Sidney</td>
               <td>37</td>
               <td>2011/06/02</td>
               <td>$95,400</td>
               <td></td>
           </tr>
           <tr>
               <td>Suki Burks</td>
               <td>Developer</td>
               <td>London</td>
               <td>53</td>
               <td>2009/10/22</td>
               <td>$114,500</td>
               <td></td>
           </tr>
           <tr>
               <td>Prescott Bartlett</td>
               <td>Technical Author</td>
               <td>London</td>
               <td>27</td>
               <td>2011/05/07</td>
               <td>$145,000</td>
               <td></td>
           </tr>
           <tr>
               <td>Gavin Cortez</td>
               <td>Team Leader</td>
               <td>San Francisco</td>
               <td>22</td>
               <td>2008/10/26</td>
               <td>$235,500</td>
               <td></td>
           </tr>
           <tr>
               <td>Martena Mccray</td>
               <td>Post-Sales support</td>
               <td>Edinburgh</td>
               <td>46</td>
               <td>2011/03/09</td>
               <td>$324,050</td>
               <td></td>
           </tr>
           <tr>
               <td>Unity Butler</td>
               <td>Marketing Designer</td>
               <td>San Francisco</td>
               <td>47</td>
               <td>2009/12/09</td>
               <td>$85,675</td>
               <td></td>
           </tr>
           <tr>
               <td>Howard Hatfield</td>
               <td>Office Manager</td>
               <td>San Francisco</td>
               <td>51</td>
               <td>2008/12/16</td>
               <td>$164,500</td>
               <td></td>
           </tr>
           <tr>
               <td>Hope Fuentes</td>
               <td>Secretary</td>
               <td>San Francisco</td>
               <td>41</td>
               <td>2010/02/12</td>
               <td>$109,850</td>
               <td></td>
           </tr>
           <tr>
               <td>Vivian Harrell</td>
               <td>Financial Controller</td>
               <td>San Francisco</td>
               <td>62</td>
               <td>2009/02/14</td>
               <td>$452,500</td>
               <td></td>
           </tr>
           <tr>
               <td>Timothy Mooney</td>
               <td>Office Manager</td>
               <td>London</td>
               <td>37</td>
               <td>2008/12/11</td>
               <td>$136,200</td>
               <td></td>
           </tr>
           <tr>
               <td>Jackson Bradshaw</td>
               <td>Director</td>
               <td>New York</td>
               <td>65</td>
               <td>2008/09/26</td>
               <td>$645,750</td>
               <td></td>
           </tr>
           <tr>
               <td>Olivia Liang</td>
               <td>Support Engineer</td>
               <td>Singapore</td>
               <td>64</td>
               <td>2011/02/03</td>
               <td>$234,500</td>
               <td></td>
           </tr>
           <tr>
               <td>Bruno Nash</td>
               <td>Software Engineer</td>
               <td>London</td>
               <td>38</td>
               <td>2011/05/03</td>
               <td>$163,500</td>
               <td></td>
           </tr>
           <tr>
               <td>Sakura Yamamoto</td>
               <td>Support Engineer</td>
               <td>Tokyo</td>
               <td>37</td>
               <td>2009/08/19</td>
               <td>$139,575</td>
               <td></td>
           </tr>
           <tr>
               <td>Thor Walton</td>
               <td>Developer</td>
               <td>New York</td>
               <td>61</td>
               <td>2013/08/11</td>
               <td>$98,540</td>
               <td></td>
           </tr>
           <tr>
               <td>Finn Camacho</td>
               <td>Support Engineer</td>
               <td>San Francisco</td>
               <td>47</td>
               <td>2009/07/07</td>
               <td>$87,500</td>
               <td></td>
           </tr>
           <tr>
               <td>Serge Baldwin</td>
               <td>Data Coordinator</td>
               <td>Singapore</td>
               <td>64</td>
               <td>2012/04/09</td>
               <td>$138,575</td>
               <td></td>
           </tr>
           <tr>
               <td>Zenaida Frank</td>
               <td>Software Engineer</td>
               <td>New York</td>
               <td>63</td>
               <td>2010/01/04</td>
               <td>$125,250</td>
               <td></td>
           </tr>
           <tr>
               <td>Zorita Serrano</td>
               <td>Software Engineer</td>
               <td>San Francisco</td>
               <td>56</td>
               <td>2012/06/01</td>
               <td>$115,000</td>
               <td></td>
           </tr>
           <tr>
               <td>Jennifer Acosta</td>
               <td>Junior Javascript Developer</td>
               <td>Edinburgh</td>
               <td>43</td>
               <td>2013/02/01</td>
               <td>$75,650</td>
               <td></td>
           </tr>
           <tr>
               <td>Cara Stevens</td>
               <td>Sales Assistant</td>
               <td>New York</td>
               <td>46</td>
               <td>2011/12/06</td>
               <td>$145,600</td>
               <td></td>
           </tr>
           <tr>
               <td>Hermione Butler</td>
               <td>Regional Director</td>
               <td>London</td>
               <td>47</td>
               <td>2011/03/21</td>
               <td>$356,250</td>
               <td></td>
           </tr>
           <tr>
               <td>Lael Greer</td>
               <td>Systems Administrator</td>
               <td>London</td>
               <td>21</td>
               <td>2009/02/27</td>
               <td>$103,500</td>
               <td></td>
           </tr>
           <tr>
               <td>Jonas Alexander</td>
               <td>Developer</td>
               <td>San Francisco</td>
               <td>30</td>
               <td>2010/07/14</td>
               <td>$86,500</td>
               <td></td>
           </tr>
           <tr>
               <td>Shad Decker</td>
               <td>Regional Director</td>
               <td>Edinburgh</td>
               <td>51</td>
               <td>2008/11/13</td>
               <td>$183,000</td>
               <td></td>
           </tr>
           <tr>
               <td>Michael Bruce</td>
               <td>Javascript Developer</td>
               <td>Singapore</td>
               <td>29</td>
               <td>2011/06/27</td>
               <td>$183,000</td>
               <td></td>
           </tr>
           <tr>
               <td>Donna Snider</td>
               <td>Customer Support</td>
               <td>New York</td>
               <td>27</td>
               <td>2011/01/25</td>
               <td>$112,000</td>
               <td></td>
           </tr>
       </tbody>
       <tfoot>
           <tr>
               <th>Name</th>
               <th>Position</th>
               <th>Office</th>
               <th>Extn.</th>
               <th>Start date</th>
               <th>Salary</th>
               <th></th>            
           </tr>
       </tfoot>
   </table>
   
   <!-- Dialog "Edit Record" -->
   <div id="modal-edit" class="modal" tabindex="-1" role="dialog">
      <form id="form-edit" action="">
      <div class="modal-dialog" role="document">
         <div class="modal-content">
            <div class="modal-header">
              <h5 class="modal-title">Edit Record</h5>
              <button type="button" class="close" data-dismiss="modal" aria-label="Close">
                <span aria-hidden="true">&times;</span>
              </button>
            </div>
            <div class="modal-body">
               <div class="form-group">
                  <label>Name: </label>
                  <input id="edit-name" class="form-control" type="text" name="name" value="" required>
               </div>
            </div>
            <div class="modal-footer">
              <button type="submit" class="btn btn-primary">Save</button>
              <button type="button" class="btn btn-secondary" data-dismiss="modal">Close</button>
            </div>
         </div>
      </div>
      </form>
   </div>

   <hr><a href="https://www.gyrocode.com/articles/tag/jquery-datatables/">See more articles about jQuery DataTables</a> on <a href="https://www.gyrocode.com/articles/">Gyrocode.com</a>
</div>

External resources loaded into this fiddle: