The unnamed passenger allegedly threatened crew members and the aircraft's safety.
The passenger is accused of trying to get into the plane's cockpit during Thursday night's flight and reportedly made a threat "to do harm to the plane."
"Alaska Airlines Flight 411, a Boeing 737 flying from JFK to LAX, diverted to Kansas City International Airport due to a passenger disturbance,'' the Federal Aviation Administration said in a statement.
The passenger was taken into custody by police before the plane continued to LAX, where it landed about 9 p.m. Thursday
The FBI will determine what charges, if any, the man will face.
The name of the suspect was not immediately released.
City News Service contributed to this story.