A fiber material for reinforcing plastics prepared by laminating at least one first fiber substrate in which the reinforcing fibers extend in two directions including the longitudinal direction and the transverse direction intersecting therewith at a substantially right angle with at least one second fiber substrate in which the reinforcing fibers extend in two directions including directions having angles of .+-.(25-65) degree relative to the longitudinal direction. Or, a fiber material for reinforcing plastics prepared by laminating at least one first fiber substrate in which the reinforcing fibers extend in at least one of two directions including the longitudinal direction and the transverse direction intersecting therewith at a substantially right angle, at least one second fiber substrate in which the reinforcing fibers extend in a direction having an angle of (25-65) degree relative to the longitudinal direction and at least one third fiber substrate in which the reinforcing fibers extend in a direction having an angle of -(25-65) degree relative to the longitudinal direction. The above laminate moldings are integrated with each other by stitch yarns passing repeatedly in the direction of lamination.