Frame made of a composite material for a working hull, especially for the fuselage of an aircraft, wherein said frame has, at least in a part of its length, a monolithic structure constituted by a profile made of a composite stratified material formed of fibers with high mechanical resistance, said fibers being pre-impregnated by a hardened synthetic resin, said profile having in section an internal flange, two external half-flanges parallel to the internal flange and two webs connecting the internal flange to each external half-flange, the internal flange and the external half flanges mainly being constituted by laps of unidirectional fibers extending longitudinally without discontinuity on the whole length of the frame inside the profile, and the webs of the profile being formed by laps of fabrics made up of multidirectional fibers, these laps of fabrics covering the internal flange and the external half-flanges to connect the latter.