Michael Lopez-Alegria, formerly a NASA astronaut, will be the mission commander. Larry Connor, an entrepreneur and investor, will be the pilot. Two specialists on the mission will be Canadian investor Mark Pathy and Israeli investor Eytan Stibbe.
The mission will use SpaceX-operated Crew Dragon to go to the ISS, where they are expected to stay for about eight days.
Tom Cruise had been rumored to be on the mission, but his name is not listed on Axiom's website.
A trip to space and back and a stay at the ISS will cost each of the passengers some $55 million.