Ticket prices are a closely guarded secret.
The gumdrop-shaped capsule holding the crew detached from the rocket once the latter took them into the heavens.
The rocket booster part then eased down vertically, letting off a sonic boom at one point, and landed to be reused.
The capsule kept going up until it crossed the so-called Karman line at an altitude of about 100 km (60 miles), which by international convention is considered the boundary between Earth's atmosphere and space.
At that height the crew experienced weightlessness for a few minutes and could observe Earth's curvature through big windows in New Shepard.
The capsule then fell back to Earth, with three giant parachutes and retro engines helping it make a gentle landing that kicked up a big cloud of dust.
This flight had been scheduled for May 20 but was delayed because of a problem with one of the spacecraft's back-up systems. Blue Origin did not give details of the problem.
Blue Origin is a leading player in the nascent space tourism market.