The stainless steel rocket dubbed SN9 was cleared for lift-off from Boca Chica, Texas by the US Federal Aviation Administration (FAA), which had earlier delayed granting authorization after determining that SpaceX's last launch violated the terms of its license.
The rocket launched smoothly around 3:30 pm local time (2030 GMT) and progressively shut down its engines as it reached a height of 10 kilometers (six miles), then performed a series of test maneuvers in a horizontal "belly flop" position.
It was when the rocket attempted to return to a vertical position for landing that the problems began, with the footage showing it came in much too fast and at a bad angle.
It landed with a deafening crash, and exploded into bright orange flames and a dust cloud, but the fire did not spread.
Tuesday's launch was delayed by several days over problems stemming from SpaceX's last Starship test on December 9, which also went up in flames.
SpaceX had sought a waiver to exceed the maximum allowable risk to the public of Starship SN8.
The FAA denied the request, but SpaceX went ahead anyway, landing the company in hot water.
The regulator denied SpaceX the opportunity to launch last week and asked them to carry out corrective actions, finally granting its approval Monday night.
The company hopes the reusable rocket system, which towers at 120 meters (394 feet), will one day carry crew and cargo to fly to the Moon, Mars and beyond.
© 2021 AFP