A turbomachine blade made of a composite material comprising reinforcing fibres embedded in a matrix of injectable and hardenable material, wherein said reinforcing fibres form single multilayer fabric extending continuously between an intrados face and an extrados face consisting of a plurality of parallel layers disposed one on top of the other such that each layer partly covers the layers below it, the number of layers present at any position determining the thickness of said blade at that position, and wherein each of said layers is formed by weft fibres and warp fibres interwoven with said weft fibers, said weft fibers of each layer partly covered by another layer being connected by warp fibres thereof to the weft fibres of at least one layer thereabove over the extent of the surface covered by said at least one layer thereabove, and said weft fibres of each layer partly covering another layer being connected by warp fibres thereof to the weft fibres of at least one layer therebelow.