However, Musk did say that Maezawa brought the idea to him and that the Japanese billionaire's money will help fund development of Big Falcon Rocket, or BFR, which the company plans to use for the lunar flight - and eventually, for a flight to Mars.
"Their masterpieces will inspire all the dreamers that are asleep in us", he said.
SpaceX said it has signed the first private moon traveler, with some changes to its original game plan.
Maezawa said: "Ever since I was a kid, I have loved the Moon...this is my lifelong dream".
In an interview in March, Musk said the ship was now being built, adding "I think we'll probably be able to do short flights, short sort of up-and-down flights, probably sometime in the first half of next year".
SpaceX is on the verge of announcing the name of person who would be the first private passenger on a trip around the moon.
The mission is planned for 2023, and would be the first lunar journey by humans since 1972.
Maezawa announced on his Twitter and Instagram accounts that he plans to take a select group of artists with him on his trip around the Moon saying: "I choose to go to the Moon, with artists", adding then "What will they see?" Musk says the company's contracts with NASA remain its priority and it will start shuttling astronauts to the worldwide Space Station next year. "They will have to create something on their return to Earth".
Only 24 humans have been to the moon in history. Musk did not name the clients a year ago or say how much they would pay. The excited passenger will be lifting off on the Big Falcon Rocket, a contraption that Musk had unveiled back in 2016.
The BFR spacecraft's shape is reminiscent of the space shuttle, the bus-like United States spaceships that carried astronauts to space 135 times from 1981 to 2011.
In 2019, SpaceX hopes to become the first private company in history to take astronauts to the global space Station.
Earlier this year, on February 6, the Falcon Heavy rocket successfully launched from Kennedy Space Center in Florida, launching a red Tesla Roadster driven by a Starman mannequin.
The BFR is SpaceX's next generation spacecraft and launch vehicle system, set to be used along with the company's current suite of hardware like the Falcon 9 and Falcon Heavy.
The era of space tourism began in 2001, when California businessman Dennis Tito paid for a journey on a Russian rocket to the International Space Station.
Musk, who is also the CEO of Tesla Motors, has drawn attention in recent months over his erratic behavior.