Navigation menu as default is in the header area so probably you mean something else. Please make a screenshot with explanation of what you mean and we'll see if this is possible.
@singcat This is action bar menu. You must create menu first, activate action bar and then under Appearance > Menus > Manage locations section you must select menu instead of social icons. But it is not possible to move search on action bar at all.
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Thanks!
How to make TOP menu as per http://chime.web.id/how-to-menu-top.jpg