Assistant Chief Constable Glen Mayhew says they hope that they do not need to enforce the legislation which came into force on Monday
People in Devon and Cornwall are being urged to respect the rule of six.
The local police force say that anyone found not doing so will be dispersed and could be subject to a £100 fine if they refuse to comply.
They say they will maintain the approach of 4E's: engagement, education and encouragement, with enforcement being the final option.
Assistant Chief Constable Glen Mayhew said:
"Preventing the spread of COVID-19 is a shared effort and police will play a part alongside the Government, businesses, hospitality owners, local authorities and others.
"The change to COVID-19 legislation, and subsequent change in the law, means everyone has a legal responsibility to play their part and not gather in a group of more than six people.
"The new rules are clear. We all have a personal responsibility for following them to help stop of the spread of a deadly virus."
Police will have the ability to issue an on the spot £100 fixed penalty notice, which can rise to a maximum of £3,200 for repeat offending.