The Battle of Normandy or Normandy Campaign includes the following:
Operation Overlord – The Western Allied campaign in France from June 6 – August 25, 1944
The Invasion of Normandy, or "Operation Neptune" – The initial part of Overlord, from June 6 – mid-July 1944
The Normandy landings on June 6, 1944
Operation Cobra, the breakout from Normandy, starting on July 25, 1944
The "Battle of Normandy" is the official term for the British, French and Canadian military campaign lasting from June 6 – September 1, 1944.