"NASA is forgoing a launch opportunity... and preparing for rollback (from the launchpad), while continuing to watch the weather forecast associated with Tropical Storm Ian," it said on Saturday.
The US National Hurricane Center said Ian is due to "rapidly intensify" over the weekend as it moves toward Florida, home to the Kennedy Space Center, from which the rocket is set to launch.
A decision on whether to roll back the giant Space Launch System (SLS) rocket to the Vehicle Assembly Building is due to be taken by the Artemis 1 team on Sunday.
On the launch pad, the orange and white SLS rocket can withstand wind gusts of up to 137 kilometers (85 miles) per hour. But if it has to be sheltered, the current launch window, which runs until October 4, will be missed.
The next launch window will run from October 17 to 31, with one possibility of take-off per day, except from October 24-26 and 28.
The Artemis 1 space mission hopes to test the SLS as well as the unmanned Orion capsule that sits atop, in preparation for future Moon-bound journeys with humans aboard.
A successful Artemis 1 mission will come as a huge relief to the US space agency, after years of delays and cost overruns.
But another setback would be a blow to NASA, after two previous launch attempts were scrapped when the rocket experienced technical glitches including a fuel leak.