Open the Google app on your iPhone
Tap your profile picture in the top right
Tap Search history
Tap Delete
Choose Delete today, Delete custom range, or Delete all time
Confirm by tapping Delete
To delete Google search history in Safari
Open Safari on your iPhone
Go to Google.com
Tap the menu or your profile if signed in
Open Search history
Tap Delete
Choose the time range
Confirm deletion
To delete Google search history in Chrome
Open Chrome on your iPhone
Tap the three dots
Tap History
Tap Clear Browsing Data
Select Browsing History
Tap Clear Browsing Data
Confirm
To stop Google from saving searches
Open the Google app
Tap your profile picture
Tap Search history
Tap Controls
Turn off Web & App Activity