An annular combustion chamber for a turbomachine is disclosed. The combustion chamber includes radially internal and radially external cylindrical walls which are fixed by bolting at their upstream ends to an internal and an external annular flange of an annular chamber end wall, and an annular fairing extending in the upstream direction from the chamber end wall. The internal and external annular ends are fixed by bolting to the flanges of the chamber end wall in axial alignment with the annular ends of the walls of the chamber.