The city as well as Gosport and Havant have been moved up to the new strictest restrictions as of Sunday.
It follows a speech by the Prime Minister on where he announced the additional tier for London and parts of the south east and east of England.
Under the rules, residents have been told to travel out of tier four.
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Portsmouth Conservatives have taken to social media to deny rumours that police have been pulling over motorists trying to leave the city.
A post on Facebook reads: ‘Please be aware that there are some political activists around the Paulsgrove area currently misleading residents and scaring them by insinuating/alluding the Police have set up 'Tier Border' checks. This is untrue.
‘The Police do have a series of 'drink driving' and mobile 'speed' spot checkpoints across the area which is a normal operation at this time of year. One of those was on Southampton Road near the trading estate we understand. But it was not a Tier border check. It's simply untrue.
‘Please don't be taken in by people who are perhaps trying to use a very distressing and awful situation to possibly further their political standing and cause further division in a very depressing situation.
‘Stay safe everyone.’
The News has approached Hampshire Constabulary for comment about the claims of police stopping motorists leaving Portsmouth.