Sports Physical control of the ball or puck by a player or team. An instance of this: Ideally, we would score on each possession. The act or fact of possessing. The state of being possessed: the land's possession by the town. Something owned or possessed: removed his possessions from the desk. A territory subject to foreign control. Law Power or control over something: possession of a firearm. Occupation or control of a piece of property, with or without ownership. A right of occupation and use: The tenant has possession of the apartment until the end of the lease. The crime of possessing an illegal drug. The state of being dominated or controlled by a demon or spirit. The state of being occupied or obsessed with something, such as an idea.