An antenna reflector compatible with applications at high frequencies between 12 and 75 GHz and suitable for a paraboloidal or ellipsoidal geostationary space environment comprising a reflective face to focus electromagnetic radiation, comprises a superposition of at least one layer comprising a fiber composite material, the at least one layer of fiber composite material comprising angular sectors arranged around a center, each defined by a first central angle and oriented in a radial direction the median of the central angle, each of the angular sectors comprising the fiber composite material comprising first and second fibers oriented different first and second respective directions, the first direction forming a second angle with the radial direction of the angular sector. The angular sectors comprise three concentric areas: a central area, a peripheral area and an intermediate area situated between the central area and the peripheral area, the intermediate area forming a rim.