How to put scroll bar only for modal-body?

If you're only supporting IE 9 or higher, you can use this CSS that will smoothly scale to the size of the window. You may need to tweak the "200px" though, depending on the height of your header or footer.

.modal-body{
    max-height: calc(100vh - 200px);
    overflow-y: auto;
}

For Bootstrap versions >= 4.3

Bootstrap 4.3 added new built-in scroll feature to modals. This makes only the modal-body content scroll if the size of the content would otherwise make the page scroll. To use it, just add the class modal-dialog-scrollable to the same div that has the modal-dialog class.

Here is an example:

<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script>
<script src="https://stackpath.bootstrapcdn.com/bootstrap/4.3.1/js/bootstrap.bundle.min.js"></script>
<link href="https://stackpath.bootstrapcdn.com/bootstrap/4.3.1/css/bootstrap.min.css" rel="stylesheet"/>
<!-- Button trigger modal -->
<button type="button" class="btn btn-primary" data-toggle="modal" data-target="#exampleModalScrollable">
  Launch demo modal
</button>

<!-- Modal -->
<div class="modal fade" id="exampleModalScrollable" tabindex="-1" role="dialog" aria-labelledby="exampleModalScrollableTitle" aria-hidden="true">
  <div class="modal-dialog modal-dialog-scrollable" role="document">
    <div class="modal-content">
      <div class="modal-header">
        <h5 class="modal-title" id="exampleModalScrollableTitle">Modal title</h5>
        <button type="button" class="close" data-dismiss="modal" aria-label="Close">
          <span aria-hidden="true">&times;</span>
        </button>
      </div>
      <div class="modal-body">
        the<br>quick<br>brown<br>fox<br>
        the<br>quick<br>brown<br>fox<br>
        the<br>quick<br>brown<br>fox<br>
        the<br>quick<br>brown<br>fox<br>
        the<br>quick<br>brown<br>fox<br>
        the<br>quick<br>brown<br>fox<br>
        the<br>quick<br>brown<br>fox<br>
        the<br>quick<br>brown<br>fox<br>
        the<br>quick<br>brown<br>fox<br>
        the<br>quick<br>brown<br>fox<br>
      </div>
      <div class="modal-footer">
        <button type="button" class="btn btn-secondary" data-dismiss="modal">Close</button>
        <button type="button" class="btn btn-primary">Save changes</button>
      </div>
    </div>
  </div>
</div>

You have to set the height of the .modal-body in and give it overflow-y: auto. Also reset .modal-dialog overflow value to initial.

See the working sample:

http://www.bootply.com/T0yF2ZNTUd

.modal{
    display: block !important; /* I added this to see the modal, you don't need this */
}

/* Important part */
.modal-dialog{
    overflow-y: initial !important
}
.modal-body{
    height: 80vh;
    overflow-y: auto;
}

Problem solved with combine solution @carlos calla and @jonathan marston.

    /* Important part */
.modal-dialog{
    overflow-y: initial !important
}
.modal-body{
    max-height: calc(100vh - 200px);
    overflow-y: auto;
}