Yes, Duke William was a Norman.
the the herpington castle of derpshire
The Norman Conquest was led by William the Duke of Normandy.
William I, Duke of France
Duke William of Normandy
He was a Norman duke who led an invasion of England in 1066
William the Conqueror, Duke of Normandy
Norman French
The Duke of Northumberland, built following the Norman conquest
Willaim S. Allison has written: 'F1-ATPase'
William I was a Norman Duke, not a King, and it should be brought, not bought. The battle was obviously the Battle of Hastings. We may have finished up with a Norman king, but a Norman king wasn't brought to the throne.
The design of the keep - a vaguely cuboid shape - is typical of Norman Castles in England (and for that matter, Sicily, too). Compare with the White Tower (in the Tower of London) and the Norman keeps in Colchester and Norwich. It was built in the period of 1087-1089 by willaim de corbeil.
The winner of The Battle of Hastings was William Duke of Normandy leading the Norman Army.