The takeoff from Cape Canaveral, Florida is planned for 8:33 pm (0133 GMT Tuesday), marking SpaceX's first launch since an explosion six months ago destroyed the rocket and its cargo destined for the International Space Station.
"If successful, this test would mark the first time in history an orbital rocket has successfully achieved a land landing," SpaceX said in a statement.
The California-based company headed by Internet tycoon Elon Musk is striving to revolutionize the rocket industry, which currently loses many millions of dollars in jettisoned machinery and sophisticated rocket components after each launch.
Several attempts to land the Falcon 9's first stage on a floating ocean platform have failed -- with the rocket either colliding with the autonomous drone ship or tipping over.
But SpaceX has insisted that each attempt has helped engineers come closer to perfecting the technique.
A launch attempt Sunday night was postponed, Musk said, because Monday gave a 10 percent more favorable chance at a successful landing.
SpaceX is also competing with Boeing to build crew spaceships to ferry astronauts to low-Earth orbit as early as 2017, a capacity the United States has not had since the retirement of the space shuttle program in 2011.
In the interim, the world's astronauts have paid Russia for rides aboard its Soyuz spacecraft.
A faulty strut was blamed for the June rocket explosion of the Falcon 9 about two minutes after launch, destroying hundreds of millions of dollars in cargo and equipment.
