This disclosure is directed to a thermoplastic composite material forming method and tooling used to perform the method. More specifically, this disclosure is directed to a method of fabricating large, complex thermoplastic composite part shapes with a consolidation tool having a conformable tooling bladder that heat thermoplastic material in the tool and provide thermoplastic material consolidation pressure in directions in the tool to form a part shape of thermoplastic composite material. A novel tooling concept is used to fabricate large, complex thermoplastic composite part shapes which are not easily producible using traditional methods. The tooling concept employs a consolidation tool that provides a method to apply thermoplastic material consolidation pressure by a conformable tooling bladder that provides thermoplastic material consolidation pressure in directions in the tool that are not achievable by conventional clamshell type molds where the mold parts move in substantially vertical tool opening and tool closing directions.