The Brook General Hospital was the westernmost of three hospitals simultaneously situated on Shooter's Hill in southeast London in the Royal Borough of Greenwich. It closed in 1996, and most of its buildings were subsequently demolished.

Shooter's Hill is a district in South East London within the Royal Borough of Greenwich. It borders the London Borough of Bexley. It lies north of Eltham and south of Woolwich. With a height of 132 metres (433 ft), it is the highest point in the Borough of Greenwich and one of the highest points in Greater London. Shooter's Hill also gives its name to the A road which passes through east to west and is part of the A207 road, the A2 road, and also Watling Street.