Vernon is a commune in the French department of Eure, administrative region of Normandy, northern France. It lies on the banks of the river …Vernon is a commune in the French department of Eure, administrative region of Normandy, northern France. It lies on the banks of the river Seine, about midway between Paris and Rouen. Vernon–Giverny station has rail connections to Rouen and Paris. The town is known for its production of engines by the SNECMA group.