You can export text from Illustrator to Flash in a variety of ways. You can export text as a static, dynamic, or input text. Dynamic text also allows you to specify a URL for the site that will open when a user clicks the text. For more information about dynamic and input text, see Flash Help.
Flash text can contain point text, area text, or text on a path; all text is converted to area text in SWF format. Bounding boxes remain the same and any transformations applied to them are preserved in SWF format. Threaded text objects are exported individually —if you want to tag and export all objects in a thread, make sure you select and tag each one. Overflow text is imported into Flash Player intact.
Once you tag text, you can import it into Flash by either exporting the text from Illustrator or copying and pasting the text.
For a video on using text effectively between Illustrator and Flash, see www.adobe.com/go/vid0199.