The move will also apply to those who are unvaccinated, Prime Minister Sheikh Sabah Al Khalid Al Sabah said on Monday.
Those who have not been immunised must still take a PCR test 72 hours before boarding a flight to the country and quarantine for a week upon arrival.
People vaccinated against Covid-19 will not be required to isolate.
From next week, the unvaccinated will be allowed to enter malls, cinemas, theatres and banquet halls if they present a negative PCR test result.
Tourists have not been allowed to travel to Kuwait since March 2020 and visas are no longer issued on arrival.
New Covid cases in the country rose to more than 6,000 per day at the end of January, the highest level of infections there to date.
The rise prompted the Cabinet to tighten Covid-19 measures, alongside a campaign to give free booster shots of Covid-19 vaccines to the over-50s.
But the number of infections in Kuwait has since dropped sharply.
On Monday, the health ministry reported 2,562 new coronavirus cases and one further death from Covid-19.