jstree inline HTML demo

HTML

<script src="https://static.jstree.com/latest/assets/dist/jstree.min.js"></script>
<link rel="stylesheet" href="https://static.jstree.com/latest/assets/dist/themes/default/style.min.css">
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css">
<script src="https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.5/lodash.min.js"></script>
<button id="btn">
Remove apple
</button>

<br>
<br>

<div id="tree">
 
</div>

<br>
<br>

<div id="output">

</div>

JavaScript

//jsTree items
var treeItems = [

 { id: 1, text: "Plate", parent: "#", icon: "fa fa-cutlery", state: 		{ opened: true } },
 { id: 2, text: "Apple", parent: 1, icon: "fa fa-apple" }

];

//jsTree config
$('#tree').jstree({
	"core": {
  	"data": treeItems,
    "check_callback": true 
  }
});

//button event
$('#btn').on("click", () => {
	
	$('#tree').jstree(true).delete_node(2);

});