最直接的方法是使用border-image属性。你可以使用任何你想要的线性渐变或重复渐变。对于线性梯度，边界图像切片属性需要为1。

.gradient-border {
    border-style: solid;
    border-width: 2px;
    border-image: linear-gradient(45deg, red, blue) 1;
}

参考文献 MDN - https://developer.mozilla.org/en-US/docs/Web/CSS/border-image-slice 数字海洋- https://www.digitalocean.com/community/tutorials/css-gradient-borders-pure-css

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/

这是一个带有透明背景的渐变边界，使用边界半径

.gradient-border {
  border-radius: 999px;
  padding: 10px 3rem;
  display: inline-block;
  position: relative;
  background: transparent;
  border: none;
}

.gradient-border::before {
  content: "";
  position: absolute;
  inset: 0;
  padding: 2px;
  border-radius: 9999px;
  background: linear-gradient(87.36deg, blue 6.42%, red 84.24%),
linear-gradient(0deg, #FFFFFF, #FFFFFF);
  -webkit-mask: 
     linear-gradient(#fff 0 0) content-box, 
     linear-gradient(#fff 0 0);
          mask: 
     linear-gradient(#fff 0 0) content-box, 
     linear-gradient(#fff 0 0);
  -webkit-mask-composite: xor;
          mask-composite: exclude;
}

现场演示:https://jsfiddle.net/jbernier/0eypxc74/1/

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。

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

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