A method is presented for making a composite material from strips comprising longitudinal fibers and a binder or resin, which material comprises a number of layer assemblies one on top of the other. Each layer assembly comprises m sets (with m at least 2) of parallel strips each extending in a different direction, Each layer assembly is manufactured by successive steps of depositing groups of parallel strips according to a well defined pattern (without longitudinally interweaving strips with previously deposited strips). Before completing a layer assembly, with the exception of the last layer assembly, by depositing its last group of parallel strips, the first group of parallel strips of the following layer assembly is already deposited. A composite material manufactured with such a method is presented too.