The company’s CEO Elon Musk said the mission is planned for late 2018 and the tourists “have already paid a significant deposit”.
The two unnamed space tourists will fly aboard a spaceship which is set for its first unmanned test flight later this year.
Elon Musk said the co-operation of NASA had made the plan possible.
He said the two passengers “will travel faster and further into the solar system than any before them”.
Elon Musk declined to reveal their identities, only saying that they knew each other and that “it’s nobody from Hollywood”.
He added: “Like the Apollo astronauts before them, these individuals will travel into space carrying the hopes and dreams of all humankind, driven by the universal human spirit of exploration.
“We expect to conduct health and fitness tests, as well as begin initial training later this year.”
The first mission would be unmanned, and the next one – with crew – was expected in Q2 of 2018, he said.
Elon Musk also said the first passengers “are entering this with their eyes open, knowing that there is some risk here”.
“They’re certainly not naive, and we’ll do everything we can to minimize that risk, but it’s not zero.”
The tourists would make a loop around the Moon, skimming the lunar surface and then going well beyond, the entrepreneur said.
The mission will not involve a lunar landing.
If NASA decided it wanted to be first to take part in a lunar flyby mission, then the agency would have priority, Elon Musk said.
The US has not sent astronauts to the Moon since the early 1970s.
Richard Branson’s Virgin Galactic venture proposes to send tourists on short sub-orbital flights in its vehicle SpaceShipTwo; the cost of a seat is listed as $250,000.
However, Virgin Galactic’s space vehicle was destroyed in a crash in 2014 and it remains unclear when the first flights with paying customers will begin.
The US House Ethics Committee has voted to release its report on former Republican Representative…
ABC News has agreed to pay $15 million to President-elect Donald Trump to settle a…
South Korea’s parliament has voted to impeach President Yoon Suk Yeol over his failed attempt…
Israeli war planes have carried out more than 100 air strikes in Syria on December…
President-elect Donald Trump has threatened to impose 100% tariffs on the BRICS countries if they…
Syrian troops have withdrawn from the city of Aleppo following an offensive by rebels opposed…