A turbine housing (101) for a high-pressure turbo-charger (1) of a turbo-charger engine system for an internal combustion engine (E) comprises a low-pressure charger opening (102) for taking up a low-pressure turbo-charger (9) and a high-pressure charger opening (103) for taking up a high-pressure turbo-charger (1). A high-pressure exhaust opening (107) is attached to a corresponding flange at an exhaust manifold (6) of the engine (E) and there is a short-cut exhaust opening (109) with a high-pressure turbine by-pass valve area (17) attached to a corresponding flange at the exhaust manifold (6). An external connection opening (10c) is attached to a muffler, a waste gate valve area (20) being provided in the close vicinity of the external connection opening (10c).