Facebook – How to automatically post the Tumblr posts to Facebook

You'll need to switch from the editor that you're using to one that allows you better control of the HTML.

Account > Preferences > Edit posts using > plain text/HTML

If you were using the rich text editor it would have automatically put in those <P> tags no matter how many times you edit them out.

Switching to another editor will give you the ability to now post without extraneous tags being put into your tumblr posts.

Try out the following apps:

http://apps.facebook.com/tumblr-feed/

Or else check this page:

http://theimpassionedeye.com/post/1416421032/how-to-publish-your-tumblr-blog-to-a-facebook-fan-page