The Crew-7 mission is commanded by American Jasmin Moghbeli and includes Andreas Mogensen of Denmark, Satoshi Furukawa of Japan and Konstantin Borisov of Russia.
The Dragon spacecraft carried by a Falcon 9 rocket lifted off at 3:27 am (0727 GMT) from Launch Complex 39A at NASA's Kennedy Space Center in Florida, in front of around 10,000 people gathered to watch the launch.
"We have liftoff!" NASA said on X, formerly known as Twitter.
Cheers could be heard in the mission control room soon after the Dragon craft separated from the Falcon 9 rocket with the crew in orbit.
"We may have four crew members on board from four different nations... but we're a united team with a common mission," Moghbeli said after the separation.
The launch was pushed back to Saturday to give engineers an extra day to review a component of the Crew Dragon capsule's environmental control and life support system, NASA said in a blog post.
It is the first space mission for both Moghbeli and Borisov.
"This is something I've wanted to do for as long as I can remember," said Moghbeli, a Naval test pilot, during a media call last month.
"One of the things I'm most excited about is looking back at our beautiful planet," added the 40-year-old American.
"Everyone who I've talked to who has flown already has said that was a life-changing perspective -- and also floating around in space, it seems really fun."
Crew-7 is set to be the seventh routine mission to the orbital platform for Elon Musk's SpaceX, with the first coming in 2020.
NASA pays SpaceX for the taxi service as part of a commercial crew program that it put in place to reduce dependency on Russian rockets for astronaut transport after the space shuttle program ended in 2011.
Boeing is the other contracted private partner, but its program remains mired in delays and technical difficulties. It has not yet flown any crew.
Borisov will be the third Russian to fly on a SpaceX Crew Dragon capsule, fixed atop a Falcon 9 rocket.
Space remains a rare area of cooperation between the United States and Russia despite Moscow's invasion of Ukraine, with Americans also continuing to fly aboard Russian Soyuz rockets that launch from Kazakhstan.
The crew will spend six months aboard the ISS, where they will carry out science experiments including collecting samples during a spacewalk to determine whether the station releases microorganisms through its life-support system vents.
The goal is to understand if microorganisms can survive and reproduce in space.
Another experiment will aim to assess the physiological differences between sleep on Earth and in space.
"I'm looking forward to coping with all the tasks. This is a very interesting profession: you are preparing for something that you haven't tried yet, and you really want to do it well," said Borisov.
Crew-7 will join the seven people already aboard the ISS, before members of Crew-6 leave for Earth a few days later.
The first segment of the ISS was launched in 1998, and it has been continuously inhabited by an international crew since 2001.
Its operations are set to continue until at least 2030, after which it will be decommissioned and crash into the ocean. Several private companies are working on commercial space stations to replace it.
|Subscribe Free To Our Daily Newsletters|
NASA and SpaceX postpone launch of ISS crew rotation mission
US seeks to extend China science accord, but only briefly for now
NASA challenges students to fly Earth and Space experiments
Indian lunar lander splits from propulsion module in key step
Rocket Lab inks dedicated launch deal with Japanese EO company iQPS
NASA SpaceX Crew-7 'Go' for August 25 Launch
Rocket Lab Launches 40th Electron Mission, Successfully Flies Reused Engine
North Korea again fails to launch spy satellite into space
Martian Tapas With a View: Sols 3926-3927
Scientists proposed to adapt a Mars ISRU system to the changing Mars environment
Cruising to the Contact: Sols 3921-3922
Approaching the Ridgetop - "Bermuda Triangle" Ahead: Sols 3923-3925
From rice to quantum gas: China's targets pioneering space research
China to launch "Innovation X Scientific Flight" program, applications open worldwide
Scientists reveal blueprint of China's lunar water-ice probe mission
Shenzhou 15 crew share memorable moments from Tiangong Station mission
Momentus announces reverse stock split|
Pentagon awards contracts for next 'swarm' of tiny missile defense satellites
Atlas Credit Partners provides $100M strategic financing to AST SpaceMobile
Intelsat completes C-Band spectrum clearing for 5G Deployment
True Anomaly opens GravityWorks; gains federal clearances for space operations
MIT engineers use kirigami to make ultrastrong, lightweight structures
China's new rules on AI-generated content
Taiwan's antique jade dealers see trade losing lustre
Size dependence and the collisional dynamics of protoplanetary dust growth
A "Jupiter" hotter than the Sun
Study explains how part of the nucleolus evolved
Watch an exoplanet's 17-year journey around its star
Neptune's Disappearing Clouds Linked to the Solar Cycle
The Road to Jupiter: Two decades of trajectory optimization
NASA's Europa probe gets a hotline to Earth
All Eyes on the Ice Giants
|Subscribe Free To Our Daily Newsletters|