Edit in JSFiddle

$(document).ready(function (){  
   var table = $('#example').DataTable({
      'ajax': 'https://gyrocode.github.io/files/jquery-datatables/arrays_id.json',
      'columnDefs': [
         {
            'targets': 0,
            'checkboxes': {
               'selectRow': true,
               'stateSave': false
            }
         }
      ],
      'stateSave': true,
      'select': 'multi',
      'order': [[1, 'asc']]
   });
});

<h3><a target="_blank" href="https://www.gyrocode.com/projects/jquery-datatables-checkboxes/">jQuery DataTables Checkboxes:</a> <a target="_blank" href="https://www.gyrocode.com/projects/jquery-datatables-checkboxes/examples/basic/state-saving/">State saving</a></h3>

<button type="button" onclick="window.location.reload()">Reload page</button>
<hr>

<table id="example" class="display" cellspacing="0" width="100%">
   <thead>
      <tr>
         <th></th>
         <th>Name</th>
         <th>Position</th>
         <th>Office</th>
         <th>Extn</th>
         <th>Start date</th>
         <th>Salary</th>
      </tr>
   </thead>
   <tfoot>
      <tr>
         <th></th>
         <th>Name</th>
         <th>Position</th>
         <th>Office</th>
         <th>Extn</th>
         <th>Start date</th>
         <th>Salary</th>
      </tr>
   </tfoot>
</table>

<hr><a target="_blank" href="https://www.gyrocode.com/projects/jquery-datatables-checkboxes/examples/basic/state-saving/">See full article on Gyrocode.com</a>