The present invention relates in particular to an intermediate material comprising, or consisting exclusively of, an array of individualized ribbons, each ribbon being composed of a mat of unidirectional reinforcing fibres and joined, by adhesive bonding, on each of the faces thereof, to a web of thermoplastic fibres, characterized in that the ribbons are arranged in successive layers, in such a way that the ribbons of two successive layers are superposed, with or without crossing but without interlacement, the bonding between one ribbon and the ribbon or ribbons with which it is superposed being provided by adhesive bonding, in that the ribbons in each layer are arranged so as to be substantially parallel to one another over at least a major portion of their length, while still being independent of one another and spaced apart, and in that the ribbons of at least two layers extend along two different directions.