SpaceX was one of three companies that received initial HLS contracts nearly one year ago for early design work on their lander concepts.
LEO systems' arrival will benefit underserved users in remote areas by supporting high-speed, low latency broadband service.
Christopher Sembroski and Dr Sian Proctor will join Hayley Arceneaux and Jared Isaacman on the Inspiration4 mission.
SpaceX is preparing for another Falcon 9 launch next Sunday, March 21, at 12:37 AM EDT (0437 GMT) with the next batch of Starlink satellites.
NASA says it will offer "in-kind services" to Roscosmos in exchange for a seat on the next Soyuz launch to the ISS.
The data collected will help astronomers understand how the universe was created.
SpaceX aims to set up a constellation of satellites to form a global broadband internet system.