NASA and the European Space Agency (ESA) are also preparing a Memorandum of Understanding on their moon exploration partnership, to supplement the agreement, the BBC said.
British companies will be able to bid to build all or parts of the European Space Agency's housing and service units on the station, and NASA will have their own housing and service units built by USA manufacturers.
He added that with the signing of the accord, it will enable "to explore the Moon and are establishing vital principles that will create a safe, peaceful, and prosperous future in space for all of humanity to enjoy".
UK Science Minister Amanda Solloway said: "The prospect of the first woman landing on the Moon in the coming years will be a source of inspiration for thousands of young people across the UK who may be considering a career in space or science".
Other principles include affirming that they will render assistance to each other in case of emergency, make their scientific data public, preserve the heritage of outer space and plan for the safe disposal of space debris.
NASA says space agencies in Australia, Italy, Japan, the United Kingdom, Luxembourg and the United Arab Emirates also joined the pact.
"Transparency, public registration, deconflicting operations - these are the principles that will preserve peace", Mike Gold, NASA acting associate administrator for global and interagency relations, said in a statement.
The terms set in the Artemis Accords apply for moon exploration in this decade and set the precedent for a historic expedition to Mars in the 2030s.
Nasa acting associate administrator for worldwide and interagency relations Mike Gold said: "Fundamentally, the Artemis Accords will help to avoid conflict in space and on Earth by strengthening mutual understanding and reducing misperceptions".
But, Bridenstine told reporters, that would have taken too long.
The US-led Artemis Accords are named after the Artemis program on lunar exploration that includes plans to send astronauts to the moon.
But two key players in space exploration, Russian Federation and China, are missing.
But, Rogozin, whose speech by video link was translated live, left open the chance of some future collaborative projects.