试试下面的例子:

.border-gradient {
      border-width: 5px 5px 5px 5px;
      border-image: linear-gradient(45deg, rgba(100,57,242,1) 0%, rgba(242,55,55,1) 100%);
      border-image-slice: 9;
      border-style: solid;
}

这是一个hack，但是在某些情况下你可以通过使用background-image来指定渐变，然后用box-shadow掩盖实际的背景来达到这种效果。例如:

p {
  display: inline-block;
  width: 50px;
  height: 50px;
  /* The background is used to specify the border background */
  background: -moz-linear-gradient(45deg, #f00, #ff0);
  background: -webkit-linear-gradient(45deg, #f00, #ff0);
  /* Background origin is the padding box by default.
  Override to make the background cover the border as well. */
  -moz-background-origin: border;
  background-origin: border-box;
  /* A transparent border determines the width */
  border: 4px solid transparent;
  border-radius: 8px;
  box-shadow:
    inset 0 0 12px #0cc, /* Inset shadow */
    0 0 12px #0cc, /* Outset shadow */
    inset -999px 0 0 #fff; /* The background color */
}

来自:http://blog.nateps.com/the-elusive-css-border-gradient

这是一个很好的半跨浏览器的方法，有渐变边界，淡出一半。只需将颜色停止设置为rgba(0,0,0,0)

.fade-out-borders {
min-height: 200px; /* for example */

-webkit-border-image: -webkit-gradient(linear, 0 0, 0 50%, from(black), to(rgba(0, 0, 0, 0))) 1 100%;
-webkit-border-image: -webkit-linear-gradient(black, rgba(0, 0, 0, 0) 50%) 1 100%;
-moz-border-image: -moz-linear-gradient(black, rgba(0, 0, 0, 0) 50%) 1 100%;
-o-border-image: -o-linear-gradient(black, rgba(0, 0, 0, 0) 50%) 1 100%;
border-image: linear-gradient(to bottom, black, rgba(0, 0, 0, 0) 50%) 1 100%;
}

<div class="fade-out-border"></div>

用法解释:

Formal grammar: linear-gradient(  [ <angle> | to <side-or-corner> ,]? <color-stop> [, <color-stop>]+ )
                              \---------------------------------/ \----------------------------/
                                Definition of the gradient line         List of color stops  

更多信息请点击:https://developer.mozilla.org/en-US/docs/Web/CSS/linear-gradient

试试这段代码

.gradientBoxesWithOuterShadows { 
height: 200px;
width: 400px; 
padding: 20px;
background-color: white; 

/* outer shadows  (note the rgba is red, green, blue, alpha) */
-webkit-box-shadow: 0px 0px 12px rgba(0, 0, 0, 0.4); 
-moz-box-shadow: 0px 1px 6px rgba(23, 69, 88, .5);

/* rounded corners */
-webkit-border-radius: 12px;
-moz-border-radius: 7px; 
border-radius: 7px;

/* gradients */
background: -webkit-gradient(linear, left top, left bottom, 
color-stop(0%, white), color-stop(15%, white), color-stop(100%, #D7E9F5)); 
background: -moz-linear-gradient(top, white 0%, white 55%, #D5E4F3 130%); 
}

或者可以参考这个小提琴:http://jsfiddle.net/necolas/vqnk9/

试试下面的例子:

.border-gradient {
      border-width: 5px 5px 5px 5px;
      border-image: linear-gradient(45deg, rgba(100,57,242,1) 0%, rgba(242,55,55,1) 100%);
      border-image-slice: 9;
      border-style: solid;
}

Webkit支持边界渐变，现在也接受Mozilla格式的渐变。

Firefox以两种方式支持渐变:

使用border-image和border-image-source 使用border-right-colors(右/左/上/下)

IE9不支持。