A fluid pump has an integral filament-wound housing bonded to internal parts of the pump. The pump housing is made of composite material (such as fiberglass strands coated with epoxy resin) wound about an adapter, pumping members and an output flange. Once hardened, the housing, adapter, pumping members and output flange are permanently bonded together to form a unitary structure. Pump efficiency is greatly enhanced because the pump housing forms a fluid-tight seal between (a) pumping members and (b) between pumping members and the housing and further prevents rotation of the pumping members in response to torque forces during pump operation.