Police say both men were taken to a nearby hospital as a precaution.
A picture showed the 1946 Stinson Voyager belly-up in the water, its front-end submerged and its tail jutting out.
Police say the plane took off from Bayport Aerodrome about 12:55 p.m. and soon had engine trouble.
The pilot attempted to put the plane down along the shore, but instead ended up crashing in the water.
