It will be against the law for people living in Glasgow to travel outside of the local authority area from Friday.
Nicola Sturgeon has announced that the current travel guidance will now be underpinned by law for Level 3 and Level 4 areas.
From Friday, people living in Level 3 or Level 4 must not travel outside their own council area, except for certain essential purposes.
People living elsewhere in Scotland must not travel to Level 3 or Level 4 areas, except for essential purposes.
There must also be no non-essential travel between Scotland and other parts of the UK.
The City of Glasgow, Renfrewshire, East Renfrewshire, East Dunbartonshire, West Dunbartonshire, North Lanarkshire, South Lanarkshire, East Ayrshire, South Ayrshire, Stirling and West Lothian face Level 4 restrictions from Friday.
The First Minister said that the changes will ensure that areas with lower prevalence of the virus, like the Highlands or parts of Lothian, won't be pushed into Level 4.
She urged the public to help ensure that the targeted approach works by not travelling from their local area.
Speaking at the Scottish Parliament, Ms Sturgeon said: "Notwithstanding the difficult decisions today for significant parts of the country, the levels system is still allowing us to avoid a national, one size fits all lockdown such as is currently in place in England.
"In my view, that is important. It means that people and businesses in lower prevalence areas, like the Highlands or parts of Lothian, are not forced into level 4 restrictions by the situation in higher prevalence areas like Glasgow.
"But the ability to maintain that targeted approach depends on us not spreading the virus from high to low prevalence areas. And that becomes even more important with parts of the country in level 4."
"To put it bluntly - and we will require to monitor this - if we see evidence that people from East or South Ayrshire are visiting places in North Ayrshire, or that people from Glasgow are going to Inverclyde, we would have no choice but to consider level 4 for these areas.
"I know this is difficult, but it is essential. Broadly comparable restrictions have been or continue to be in force in England and Wales.
"And if we are to maintain a targeted approach and allow low prevalence areas to live with fewer restrictions, I cannot stress enough how important it is that we all abide by these rules."
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