Delete browsing, search and download history on Firefox can help you remove your google search history.

Thank You please note>>"Well, i decided to create a new profile in Firefox 21, and using add ons compatibility reporter and check compatibility, i finally have the "clear search history" clearing when i click It, after searching, clears all searching history in the Google search bar and drop down." See attachment

So, what's the question?

No question, i`m telling you how i solved the "clear Google search history" problem in the Google search bar and drop down, not "clear recent history"."Well, i decided to create a new profile in Firefox 21, and using add ons compatibility reporter and check compatibility, i finally have the "clear search history" clearing when i click It, after searching, clears all searching history in the Google search bar and drop down." see attachment again.

Ok, well then lets close this thread as there is no purpose to it. The steps on how to clear your search history are covered at https://support.mozilla.org/en-US/kb/remove-recent-browsing-search-and-download-history

Unless you mean the Google Toolbar, which has been dropped from support by Google, is no longer supported by any version of Firefox, and any use is at your own risk.