Currently Being ModeratedFeb 2, 2013 7:00 AM (in response to AUSam)
This is called the "Bookmarks Bar". You edit it in a number of ways. You can drag a URL from the address bar. You can use "Add bookmark" (command-d) and select the Bookmarks Bar as destination. You can open the bookmarks editing page and do it from there.
If you accidentally delete one, press command-z (undo).