Facebook and wordpress is best popular and networking tools in internet world.
I recomend following wordpress plugins need to install in your wordpress site.

1. Facebook Fan box

If you have a page in Facebook about your blog and want to show the Facebook Fan Box with the recent updates and fans, just activate this widget or insert this line of code anywhere in your theme:

2. Simple Facebook Connect

Simple Facebook Connect is a series of plugins that let you add any sort of Facebook Connect functionality you like to a WordPress blog. This lets you have an integrated site without a lot of coding, and still letting you customize it exactly the way you’d like.

3. Add To Facebook

This plugin adds a footer link to add the current post or page to a Facebook Mini-Feed. While the plugin is activated a link will appear after the content of the post with the text “Share on Facebook” or the Facebook icon or both. Clicking this link will bring the user to the Facebook site. If the user isn’t logged in they will be prompted to do so. Once logged into Facebook the post will be added to the Mini-Feed of the account.

4. Publish To Facebook

Publishes posts, pages or both to your Facebook Mini-Feed directly from WordPress.

5. Facebook Comments

Facebook comments is a WordPress plugin that will import comments from your facebook notes back into your wordpress blog.

6. Facebook Dashboard Widget

If you’re like me, you’ll like to keep up with what your friends are up to but don’t always have time to check Facebook. Or maybe you’re just somewhere where access to the Facebook site is blocked. Work, school, etc.

7. Gaboinked! Facebook Badge Plugin for WordPress

The Gaboinked! Facebook Badge Plugin for WordPress allows you to display a Facebook Badge in the Sider Bar of your on a self-hosted WordPress Blog without having to hard-code your WordPress template or use the sometimes unreliable WordPress Text Widget.

8. Facebook Sharer

This plugin adds a link within each blog post to share blog posts on FaceBook.

9. Facebook Posted Items

This plugin fetches posted items from Facebook and displays them in an unordered list with proper links and comments.

10. Facebook Share Preview

The Facebook Share Preview Plugin adds the required meta-data to an audio post so Facebook can embed your audio directly onto their site.

11. Share On Facebook

This plugin adds a footer link to add the current post or page as a Facebook link. While the plugin is activated a link will appear after the content of each post/page with the text “Share on Facebook”, the Facebook icon, both or the familiar Facebook share button. Clicking the link will bring the user to the Facebook site to add the link to their profile. If the user isn’t logged in they will be prompted to do so.

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