Select Settings and more > Settings > Privacy, search, and services Under Clear browsing data, select Choose what to clear Under Time range, choose a time range. Select Cookies and other site data, and then select Clear now.

Scroll down a bit to the "Search History" section, and then click "View And Clear Search History" button. This opens the "Activity History" tab of your dashboard, and puts the focus on your past searches. If what you want to do is clear your entire search history, you can just click the "Clear Activity" link at the top right of your search list.