A turbine housing for a high-pressure turbo-charger of a turbo-charger engine system for an internal combustion engine is provided that includes, but is not limited to a low-pressure charger opening for taking up a low-pressure turbo-charger and a high-pressure charger opening for taking up a high-pressure turbo-charger. A high-pressure exhaust opening is attached to a corresponding flange at an exhaust manifold of the engine and there is a short-cut exhaust opening with a high-pressure turbine by-pass valve area attached to a corresponding flange at the exhaust manifold. An external connection opening is attached to a muffler, a waste gate valve area being provided in the close vicinity of the external connection opening.