You’ll need to notify your home owner’s insurance company that you have sold your house and that you no longer need the home owner’s insurance.
However, don’t do this too quickly.
There is sometimes a gap between closing date and possession date for a property. Also, you are going to be moving your belongings to a new location. You should consult your insurance carrier about these matters. If you cancel your insurance on the day of closing, you may not have coverage during your move.
Be sure to talk with your insurance agent about when and how to cancel your insurance of the property you are selling in a way that keeps you covered for any problems that may arise in those few days after closing while you still occupy the house and while your possessions are being moved to a new location.