North Yorkshire Police said it will use checkpoints to stop vehicles and ask drivers if their journey is essential.
Officers will ask motorists where they are going, why they are going there, and reminding them of the message to stay at home, protect the NHS and save lives.
Assistant Chief Constable Mike Walker, said: “The new and significant restrictions announced by the Prime Minister on Monday evening spell out very clearly what each and every one of us must do to save lives. The message is clear and the warning stark. Stay at home, save lives.
“These are the lives of the people we know and love. Our partners, mothers, fathers, sisters, brothers, children, grandparents.
“You may never be in such a position again where your simple actions will lead directly to saving lives.”
The force said the checkpoints will be unannounced and could appear anywhere any time.