Disclosed herein is an apparatus and method for continuously producing and dehydrating gas hydrates. The apparatus includes a gas source, a water source, a reactor, a spinning wheel, and a centrifugal separator. The gas source and the water source are connected to the reactor. Gas and water are respectively supplied from the gas source and the water source into the reactor and react with each other in the reactor to form gas hydrate slurry. The spinning wheel and the centrifugal separator are provided in the reactor. The spinning wheel supplies the formed gas hydrate slurry to the centrifugal separator. The centrifugal separator dehydrates the gas hydrate slurry. Water removed from the gas hydrate slurry by the dehydration of the centrifugal separator is re-supplied into the reactor.