All economic and commercial activities will be allowed to operate on the condition that they strictly adhere to precautionary measures, the ministry said.
Separately, the Ministry of Municipal and Rural Affairs said men's barbershops and women's beauty salons have also been allowed to function from Sunday.
The curfew will be lifted across the country, including in the cities of Makkah and Jeddah where residents are currently only allowed to leave their homes for necessities.
Umrah pilgrimage and international flights will remain suspended until further notice, the interior ministry said, adding that land and sea borders will also remain closed.
The ministry called on all citizens and residents to download “Tabaud” and "Tawakkalna” apps to receive the latest health instructions about coronavirus.
The ministry also stressed that social distancing measures must be strictly obeyed. Gatherings of no more than 50 people are strictly prohibited, the ministry added.
Individuals must also wear a mask at all times when they are out in public.
Those violating any of the preventative measures will be penalized, the ministry warned.