The London Borough of Wandsworth is a London Borough . The borough was formed in 1965 from the former area of the Metropolitan Borough of Battersea and much of the former area of the Metropolitan Borough of Wandsworth , but excluding Clapham and most of Streatham , both of which were transferred to the London Borough of Lambeth . The borough borders the London Borough of Lambeth to the east , the London Borough of Merton and the Royal Borough of Kingston Upon Thames to the south , the London Borough of Richmond upon Thames to the west and to the north ( across the River Thames ) three boroughs , namely the London Borough of Hammersmith and Fulham , Royal Borough of Kensington and Chelsea and the City of Westminster .