This is a question that is often asked to me. A lot of people have complex graphics done in SVG and want to leverage it in their Flex apps. Its actually quite simple.
Like any asset used in your app, copy the svg files into your project structure. You can use the Image control (mx.controls.Image) to draw SVG content. Just that the source has to pointed to classes containing the SVG content instead of the images as you do with JPG and PNG assets. Here is a small bit of code that generated the following result
<mx:Application xmlns:mx=”http://www.adobe.com/2006/mxml” backgroundColor=”0xffffff” layout=”horizontal”>
public var bird:Class;
public var tux:Class;
The SVGs I have used can be found here: