Add class " vertical " with carousel html 

<div class="vertical carousel slide" data-ride="carousel">
     ...
    </div>

And use this css for Vertical scroll 


      
  .vertical.carousel .carousel-control {
      bottom: auto;
      width: 100%;
      height: 15%;
      background: -webkit-gradient(linear, left top, left bottom, color-stop(0, rgba(0, 0, 0, 0.5)), to(rgba(0, 0, 0, 0)));
      background: -moz-linear-gradient(top, rgba(0,0,0,0.5) 0, rgba(0,0,0,0) 100%);
      background: linear-gradient(to bottom, rgba(0, 0, 0, 0.5) 0, rgba(0, 0, 0, 0) 100%);
  }
  .vertical.carousel .carousel-control.right {
    top: auto;
    bottom: 0;
    background: -webkit-gradient(linear, left top, left bottom, from(rgba(0, 0, 0, 0)), to(rgba(0, 0, 0, 0.5)));
    background: -moz-linear-gradient(top, rgba(0,0,0,0) 0%, rgba(0,0,0,0.5) 100%);
    background: linear-gradient(to bottom, rgba(0, 0, 0, 0) 0%, rgba(0, 0, 0, 0.5) 100%);
  }
  .vertical.carousel .carousel-control .glyphicon {
    -webkit-transform: rotate(90deg);
            transform: rotate(90deg);
  }
  .vertical.carousel .carousel-indicators {
    bottom: auto;
    top: 50%;
    left: auto;
    right: 10px;
    width: 14px;
    margin: 0;
    -webkit-transform: translateY(-50%);
            transform: translateY(-50%);
  }
  .vertical.carousel .carousel-inner > .item {
    left: 0;
    top: 0;
  }
  .vertical.carousel .carousel-inner > .item > img {
    width: 100%;
  }
  .vertical.carousel .carousel-inner > .item.next,
  .vertical.carousel .carousel-inner > .item.active.right {
    -webkit-transform: translate3d(0, 100%, 0);
            transform: translate3d(0, 100%, 0);
    top: 0;
  }
  .vertical.carousel .carousel-inner > .item.prev,
  .vertical.carousel .carousel-inner > .item.active.left {
    -webkit-transform: translate3d(0, -100%, 0);
            transform: translate3d(0, -100%, 0);
    top: 0;
  }
  .vertical.carousel .carousel-inner > .item.next.left,
  .vertical.carousel .carousel-inner > .item.prev.right,
  .vertical.carousel .carousel-inner > .item.active {
    -webkit-transform: translate3d(0, 0, 0);
            transform: translate3d(0, 0, 0);
    top: 0;
  }
  .vertical.carousel .carousel-inner > .active,
  .vertical.carousel .carousel-inner > .next.left,
  .vertical.carousel .carousel-inner .prev.right {
    top: 0;
  }
  .vertical.carousel .carousel-inner > .next,
  .vertical.carousel .carousel-inner > .active.right {
    top: 100%;
    left: 0;
  }
  .vertical.carousel .carousel-inner > .prev,
  .vertical.carousel .carousel-inner > .active.left {
    top: -100%;
    left: 0;
  }