A pneumatic tire is reinforced by a thin annular composite band embedded in the crown portion of the tire to enable the tire to resist compressive forces in the tire when in an uninflated condition. The band is formed of a plurality of wound layers of first and second resin coated fiber tows wherein the first tow is formed of fibers twisted at a greater angle than the fibers in the second tow. Layers of the first tow are located adjacent the neutral axis of the band to provide interlaminar shear strength with the tow layers located adjacent the inner and outer surfaces of the band being formed predominately of the second tow to provide a high level circumferential stiffness. The intermediate tow layers are formed of both type of tows to provide a transition zone between the central interlaminar shear strength and the outer circumferential stiffness.