Yulia Peresild, 36, and Klim Shipenko, 37, will blast off in a Russian rocket from Baikonur cosmodrome on 5 October.
The drama has the working title Challenge. Russia's Roscosmos space agency says it wants to show space opening up for a wider range of people.
Nasa and actor Tom Cruise also plan to make a film aboard the space station.
It is not yet clear when their Hollywood space movie, announced last year, will be shot. Cruise is expected to go to the ISS with director Doug Liman. Nasa says Elon Musk's SpaceX rocket company will also be involved.
The Roscosmos announcement on Thursday has triggered speculation that Russia is now in a new kind of celebrity space race with the US.