Non-pneumatic wheel (1) with an annular reinforcing structure (10) produced from at least one elastomer compound, arranged radially on the inside of a tread (7), the structure (10) having a plurality of reinforcing strips (12, 14) arranged in layers, the strips (12, 14) of each of the layers being arranged in juxtaposition in a substantially circumferential direction, the strips being coated with an elastomer composition (13), the structure (10) made of at least three layers of strips (12, 14), wherein the strips are formed of a laminate of at least two composite layers, each composite layer has fibres coated in a polymer matrix, the fibres making an angle α with the circumferential direction, the difference in values of the said angles from one layer to the next being approximately 90°.