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The next launch opportunity opens May 11, with a slightly more than two-hour window starting at opening at 4:14 pm (2014 GMT) and ending at 6:21 pm.
"The vehicle and payload are in good health," said a SpaceX spokesman, who was unable to give a precise reason for the aborted launch at Cape Canaveral, Florida.
The rocket's main goal for its maiden mission is to propel the first high-orbit communications satellite for Bangladesh, called Bangabandhu Satellite-1.
Eventually, the rocket is slated to launch humans to the International Space Station, aboard SpaceX's Dragon crew capsule, still under development.
The first crew launch is tentatively planned for December 2018.