There is no one-size-fits-all answer to this question, as the best way to stop your child from deleting internet history on Mac will vary depending on the child's age, computer skills, and internet habits. However, some tips on how to stop your child from deleting internet history on Mac may include using a parental control software like Apple's Family Sharing, setting up a password for their computer, or using a cloud-based service like iCloud to keep track of their internet history.