The move brings Scotland into line with England – the UK government announced last week that fully vaccinated people would be exempt from quarantine when arriving from amber countries from 19 July.
Sturgeon made the announcement during a special online session of the Scottish parliament to give an update on lifting restrictions from next week.
“From Monday 19 July, self-isolation will no longer be required for people arriving from countries on the amber list, providing they are fully vaccinated through a UK vaccination programme and take a PCR test on the second day after arrival,” said Sturgeon.