Abstract: Process for optimizing the features of multilayered tubes made of fibrous composite materials, allowing to maintain within the specified limits the limit elongations and stresses which they withstand in response to the applied strains. The process comprises selecting at least two optimized features characteristic of each layer (its thickness and the winding angle of the fibers for example) by starting from an initial tube selected a priori. Through small deviations applied to the parameters, the relations between small deviations applied to the parameters and the variations of the resulting limit elongations and stresses are determined, as well as the inverse relations relating the variations of the limit elongations and stresses to the parameter deviations. Knowing these inverse relations allows, in one or several stages, to find out the deviations to be applied in order to make up the measurable differences between the limit elongations and stresses of the optimized tube and the tube selected a priori.