Annular combustion chamber of a turbomachine is provided. The combustion chamber includes an inner wall, an outer wall, a chamber bottom disposed between the walls in the upstream region of the chamber, and two attachment flanges disposed downstream of the chamber bottom and respectively enabling the walls to be attached to other parts of the turbomachine. Each wall is divided into several adjacent sectors and each sector is attached to the chamber bottom and to one of the attachment flanges. Advantageously, the adjacent sectors overlap at their lateral edges and there exists a degree of radial play between two adjacent sectors. In addition, the lateral edges of the sectors are inclined circumferentially relative to the principal axis of the combustion chamber.