Ms Sturgeon also warned Scots against travel to the areas in the top two tiers of England during the October holidays and singled out Blackpool for special attention.
She warned the Lancashire holiday town is “now associated with a large and growing number of Covid cases in Scotland” and urged people to stay away.
But she faced a backlash from Blackpool’s civic leaders, who said its Covid-19 rate of 218 cases per 100,000 people is one of the lowest in the North West of England and parts of Scotland.
Blackpool Council said “stringent Covid secure measures” were in place, while local hoteliers said Ms Sturgeon singling out the town was “a real kick in the teeth”.
The row broke out as Scotland recorded a record 1,429 cases, with 16.4 per cent of people testing positive. A further 15 deaths were registered.
Mr Drakeford said he was taking action after the Prime Minister twice failed to respond to his requests to make advisory travel guidance in English coronavirus hotspots mandatory. He said he was “determined to keep Wales safe.”
Under new regulations being prepared by Welsh ministers, people living in areas with a high-prevalence of coronavirus in England, Scotland and Northern Ireland will not be able to travel to Wales for the time being.
In the face of scepticism from Downing Street, he told Times Radio: “It is absolutely possible to enforce it. The Welsh population is very nervous and wary. Your difficulties aren’t over if you evade the police.”
A Senedd source said: “Holidays and going to see your families won’t be a reasonable excuse to break the rules.”
Mr Drakeford said much of Wales was subject to local restrictions that mean people in those areas are already barred from travel beyond their county boundary without a reasonable excuse, meaning they cannot go to England.