The incident occurred on the base's Pier 14 at about 1100 hours Friday.
Base emergency services personnel responded to the scene and transported the victim as Sentara Norfolk General Hospital, and he was pronounced deceased shortly after.
After notifying his next of kin, the U.S. Navy identified the victim as Chief Petty Officer Adam M. Foti, a chief culinary specialist aboard Dunham.
An NCIS investigation into the circumstances of the accident is under way.
"Our thoughts and prayers are with the family and friends of Chief Petty Officer Adam M. Foti," the Navy said in a brief statement.