valor-software/ng2-bootstrap

<button type="button" class="btn btn-primary" (click)="parentModal.show()">Open parent modal</button>
<div class="modal fade" bsModal #parentModal="bs-modal" tabindex="-1" role="dialog" aria-labelledby="dialog-nested-name1">
  <div class="modal-dialog modal-lg">
    <div class="modal-content">
      <div class="modal-header">
        <h4 id="dialog-nested-name1" class="modal-title pull-left">First modal</h4>
        <button type="button" class="close pull-right" aria-label="Close" (click)="parentModal.hide()">
          <span aria-hidden="true">&times;</span>
        </button>
      </div>
      <div class="modal-body">
        <button type="button" class="btn btn-primary" (click)="childModal.show()">Open second modal</button>
      </div>
    </div>
  </div>
</div>

<div class="modal fade" bsModal #childModal="bs-modal" tabindex="-1" role="dialog" aria-labelledby="dialog-nested-name2">
  <div class="modal-dialog">
    <div class="modal-content">
      <div class="modal-header">
        <h4 id="dialog-nested-name2" class="modal-title pull-left">Second modal</h4>
        <button type="button" class="close pull-right" aria-label="Close" (click)="childModal.hide()">
          <span aria-hidden="true">&times;</span>
        </button>
      </div>
      <div class="modal-body">
        This is second modal <br>
        <button type="button" class="btn btn-primary" (click)="thirdModal.show()">Open third modal</button>
      </div>
    </div>
  </div>
</div>

<div class="modal fade" bsModal #thirdModal="bs-modal" tabindex="-1" role="dialog" aria-labelledby="dialog-nested-name3">
  <div class="modal-dialog modal-sm">
    <div class="modal-content">
      <div class="modal-header">
        <h4 id="dialog-nested-name3" class="modal-title pull-left">Third modal</h4>
        <button type="button" class="close pull-right" aria-label="Close" (click)="thirdModal.hide()">
          <span aria-hidden="true">&times;</span>
        </button>
      </div>
      <div class="modal-body">
        This is third modal <br>
        Click <b>&times;</b> to close modal.
      </div>
    </div>
  </div>
</div>