Authorities don't believe the cadet has any magazines or ammunition or poses a threat to the public. He may be a danger to himself, the academy said in a statement.
The academy will be operating normally with "an increased force protection status," the statement said, including more police presence at sporting events and across the campus.
The cadet, a member of the class of 2021, was last seen on Friday around 5:30 p.m. on West Point grounds. When he didn't show up for a military skills competition, his teammates began looking for him immediately, the academy said.
After an initial search was unsuccessful, military police began their search around 1 a.m. Saturday.
Officials notified the New York State Police, Orange County Sheriff's Department and also reached out to the Keller Army Community Hospital and other local hospitals to make sure the missing cadet hadn't received medical treatment, the academy said.
State police offered helicopter, K-9 and drone support for the search. The Coast Guard was notified and searched the shoreline, the academy's statement said.
"I want to thank the local and state law enforcement agencies and emergency services for their tireless support," Lt. Gen. Darryl A. Williams, academy superintendent, said in a statement. "We will continue to search with all means possible, on and off West Point. Safely locating the Cadet remains our focus and number one priority."
Authorities urged anyone with information to call 845-938-3333.