"For clarity: after review of all data to date, Falcon 9 did everything correctly on Sunday night," said Gwynne Shotwell, president and chief operating officer of California-based SpaceX.
"If we or others find otherwise based on further review, we will report it immediately," she said in a statement.
"Information published that is contrary to this statement is categorically false. Due to the classified nature of the payload, no further comment is possible."
The Wall Street Journal was the first to report late Monday that the billion-dollar payload did not make it into orbit and was "presumed to be a total loss," citing unnamed government and industry officials.
The secretive payload was "believed to have plummeted back into the atmosphere, they said, because it didn't separate as planned from the upper part of the rocket," said the report.
The nature of the mission remains shrouded in mystery.
Neither industry nor government officials would comment on the purpose of Zuma. Northrop Grumman made the satellite, which it said was for the government and was destined for low-Earth orbit, but offered no other details.
During the launch Sunday night from Cape Canaveral, Florida, SpaceX did not report any problems.
The fairing is the part of the rocket nose cone that holds the payload and splits apart at the proper time, so the satellite can slip into orbit.
The launch was initially planned for November but was postponed so that SpaceX could "take a closer look at data from recent fairing testing for another customer," SpaceX said on Twitter at the time.
Shotwell said no changes are expected in SpaceX's upcoming launch schedule "since the data reviewed so far indicates that no design, operational or other changes are needed."
SpaceX has launched national security payloads in the past, including a spy satellite for the National Reconnaissance Office, and an X-37B space plane for the US Air Force.
The CEO of SpaceX is Elon Musk, the South African-born inventor and entrepreneur who is also behind electric car-maker Tesla.
(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)
Get Breaking news, live coverage, and Latest News from India and around the world on NDTV.com. Catch all the Live TV action on NDTV 24x7 and NDTV India. Like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.