If you have no use of search box provide on Firefox browser, you can remove it like any other element in your Firefox toolbar. here's how:
- Right-click on any open space in your toolbar,
- select "Customize" from the context menu. A Customize Toolbar dialog will then appear
- Simply click on any part of Firefox's Search box (your mouse will transform into a hand icon when hovering over the Search box) and drag it into the Customize Toolbar window. Now you see it; now you don't!