This 120-meter-high launcher, developed by Elon Musk's company for years, is intended for trips to deep space, to the Moon and Mars.
The takeoff is scheduled to take place from Starbase, located in the extreme south of Texas, in the United States.
The two-and-a-half-hour launch window opens Monday at 07:00 local time (12:00 GMT), SpaceX announced Friday. Fallback dates are expected in the week.
"Success perhaps, guaranteed elation!" tweeted Elon Musk.
This launcher has never flown in its complete configuration, with its first stage, called Super Heavy.
Only the second stage of the vehicle, the Starship spacecraft that gives its name to the entire rocket, made suborbital test flights (at about 10 km altitude), several of which ended in impressive explosions.
It is this spacecraft that was chosen by NASA to land astronauts on the Moon during the Artemis 3 mission, officially scheduled for 2025.
On Friday, the US civil aviation regulator (FAA) awarded Starship a flight license "valid for five years".
In the future, the two stages of the craft must be able to rest on Earth, making the rocket fully reusable. But for this first flight, he will not be tempted to recover them, and it is expected that Starship as Super Heavy will crash into the ocean.
SpaceX © Gal ROMA Starship rocket / AFP
The idea of a reusable launcher, Elon Musk's grand strategy, is to break prices. Each Starship flight could eventually cost "less than ten million" dollars, he has assured in the past.
In February, SpaceX conducted an impressive ground test of Super Heavy's engines. In total, 31 of the 33 Raptor engines had ignited, "the most simultaneous rocket engine ignitions in history," according to SpaceX.
A few months ago, NASA's SLS rocket (98 meters high) became the most powerful operational rocket in the world during its maiden flight for the lunar mission Artemis 1. It could therefore be dethroned as early as next week.
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