Remove Button Shadow

Bootstrap 4.1 supports adding a class shadow-none to remove a shadow.

<link href="https://maxcdn.bootstrapcdn.com/bootstrap/4.1.0/css/bootstrap.min.css" rel="stylesheet"/>

<p>Click both buttons below to see the difference:</p>
<button class="btn">Bootstrap button</button>
<button class="btn shadow-none">Bootstrap (4.1) button without shadow</button>

UPDATE - Boostrap 4

In this version you can remove the button shadow by using utility class shadow-none.

.btn {
  height: 100px;
  width: 100px;
}
<link href="https://cdn.jsdelivr.net/npm/[email protected]/dist/css/bootstrap.min.css" rel="stylesheet" />
<div class="container-fluid">
  <div class="row">
    <div class="col-3">
      <button class="btn shadow-none">No Shadow</button>
    </div>
    <div class="col-3">
      <button class="btn shadow-sm">Shadow Small</button>
    </div>
    <div class="col-3">
      <button class="btn shadow">Regular Shadow</button>
    </div>
    <div class="col-3">
      <button class="btn shadow-lg">Shadow Large</button>
    </div>    
  </div>
</div>

See more info here


OLD Answer - Bootstrap 3

You were missing this:

.btn.active.focus, .btn.active:focus, .btn.focus, .btn.focus:active, .btn:active:focus, .btn:focus {
  outline: thin dotted;
  outline-offset: -2px;
}

So you need to reset it. (!important only used for demo - DO NOT USE in your development code)

Snippet

.container-fluid {
  text-align: center;
}
body .btn {
  height: 170px;
  width: 170px;
  border-radius: 50% !important;
  outline: 0 !important;
}
.btn.active.focus,
.btn.active:focus,
.btn.focus,
.btn.focus:active,
.btn:active:focus,
.btn:focus {
  outline: 0 !important;
  outline-offset: 0  !important;
  background-image: none  !important;
  -webkit-box-shadow: none !important;
  box-shadow: none  !important;
}
<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" />
<div class="container-fluid">
  <p>result</p>
  <div class="row">
    <div class="col-sm-4">
      <button class="btn">Rock</button>
    </div>
    <div class="col-sm-4">
      <button class="btn">Paper</button>
    </div>
    <div class="col-sm-4">
      <button class="btn">Scissors</button>
    </div>
  </div>
</div>

bootstrap 4

in my case it was enough:

.btn:focus{
box-shadow: none !important;
}