Yves Rossy landed safely after the 22-mile (35.4 km) flight from Calais to Dover, which had been twice postponed this week because of bad weather.
The former military pilot took less than 10 minutes to complete the crossing and parachute to the ground.
The 49-year-old flew on a plane to more than 8,200ft (2,500m), ignited jets on a wing on his back, and jumped out.
Yves Rossy with jet pack
Yves Rossy aimed to reach speeds of 125mph
Mr Rossy had hoped to reach speeds of 125mph.
It felt "great, really great", said Mr Rossy: "I only have one word, thank you, to all the people who did it with me."
He said weather conditions on Friday had been perfect and his success signalled "big potential" for people to fly "a little bit like a bird" in the future.
Known as "Fusionman," he was aiming to follow the route taken by French airman Louis Blériot 99 years ago when he became the first person to fly across the English Channel in a plane.
In Dover, Mr Rossy flew past South Foreland lighthouse - which the building's manager Simon Ovenden said Blériot used as a target during his pioneering flight - and looped onlookers before landing in a field. [READ MORE]