Abstract: A method for manufacturing a profiled section made of a thermally insulating composite material. A thermoset matrix is injected into an injection box where continuous natural fiber rovings circulate. The continuous natural fiber rovings and a portion of the thermoset matrix are pultruded. The natural fiber volume ratio is between 50 and 70% and a natural fiber mass ratio is between 55 and 75%. During the injection step, the ratio of natural fibers can be adapted so that the composite material has a conductivity of less than 0.30. The continuous natural fiber rovings can be twisted before the steps of injecting and pultruding. Preferably, during the twisting step, a number of turns per meter of between 10 and 30 is transmitted to the continuous natural fiber rovings.