A process for the production of a reinforcing fiber base material laminate (19, 28) that produces a laminate (19, 28) via at least the following steps through: cutting a unidirectional reinforcing fiber base material (1, 6, 32) into a predetermined shape, the base material having a weave of reinforcing fibers arranged in parallel in a single direction, and auxiliary fibers arranged in at least one other direction, whereby the auxiliary fiber arranged in the at least one other direction crosses the reinforcing fibers, the width H of the reinforcing fibers, and the in-plane shear strain θ exist in the relationship expressed by equations and below, L = H / cos θ 3 ° ≤ θ ≤ 30 ° wherein L is the length measured along the auxiliary fibers when viewing from a perpendicular direction to the reinforcing fiber base material (1, 6, 32) and defined by L=H+S wherein S is a gap between adjacent reinforcing fibers; and wherein an adhesive resin (33, 34) having a glass transition temperature Tg between 0 °C and 95 °C is adhered to the surface of each unidirectional reinforcing fiber base material (1, 6, 32) on at least one side thereof, the amount of adhesive resin (33, 34) being between 2 g/m 2 and 40 g/m 2 and adhered in spots, lines, or discontinuous lines, wherein the adhesive resin (33, 34) adhered to each layer of unidirectional reinforcing fiber base material (1, 6, 32) partially bonds to a facing layer of reinforcing fiber base material over the entire surface thereof, and additionally, wherein the maximum length of each bonding joint is not less than 1 mm and not greater than the width H of the reinforcing fibers; laminating the unidirectional reinforcing fiber base material (1, 6, 32) that was cut into a predetermined shape by successively transporting and disposing layers thereof in a planar manner on the basis of a predetermined lamination configuration; intermittently transporting the laminate (19, 28) obtained in the laminating step to a heating step; heating the laminate (19, 28) transported in the transporting step; press-bonding the laminate (19, 28) by applying pressure to only predetermined locations on the laminate (19, 28) using a press-bonding jig, and bonding together layers of the reinforcing fiber base material (1, 6, 32) at the pressure points throughout the direction of thickness by means of the adhesive resin (33, 34) adhered to the surface of the reinforcing fiber base material (1, 6, 32); and cooling the laminate (19, 28) wherein, in the press-bonding step, the press-bonding jig has a plurality of independent pressure points, and additionally, the maximum length of each pressure point is equal to or less than the width H of a reinforcing fibers, and wherein, in the press-bonding step, the cross-sectional shape of the pressure points of the press-bonding jig is circular, the diameter of the circular cross-section is equal to or less than the width H of a reinforcing fibers, and additionally, press-bonding is conducted with the spacing between nearest-neighbor pressure points being not less than H and not more than 30 mm. cutting a unidirectional reinforcing fiber base material (1, 6, 32) into a predetermined shape, the base material having a weave of reinforcing fibers arranged in parallel in a single direction, and auxiliary fibers arranged in at least one other direction, whereby the auxiliary fiber arranged in the at least one other direction crosses the reinforcing fibers, the width H of the reinforcing fibers, and the in-plane shear strain θ exist in the relationship expressed by equations and below, L = H / cos θ 3 ° ≤ θ ≤ 30 ° wherein L is the length measured along the auxiliary fibers when viewing from a perpendicular direction to the reinforcing fiber base material (1, 6, 32) and defined by L=H+S wherein S is a gap between adjacent reinforcing fibers; and wherein an adhesive resin (33, 34) having a glass transition temperature Tg between 0 °C and 95 °C is adhered to the surface of each unidirectional reinforcing fiber base material (1, 6, 32) on at least one side thereof, the amount of adhesive resin (33, 34) being between 2 g/m 2 and 40 g/m 2 and adhered in spots, lines, or discontinuous lines, wherein the adhesive resin (33, 34) adhered to each layer of unidirectional reinforcing fiber base material (1, 6, 32) partially bonds to a facing layer of reinforcing fiber base material over the entire surface thereof, and additionally, wherein the maximum length of each bonding joint is not less than 1 mm and not greater than the width H of the reinforcing fibers; laminating the unidirectional reinforcing fiber base material (1, 6, 32) that was cut into a predetermined shape by successively transporting and disposing layers thereof in a planar manner on the basis of a predetermined lamination configuration; intermittently transporting the laminate (19, 28) obtained in the laminating step to a heating step; heating the laminate (19, 28) transported in the transporting step; press-bonding the laminate (19, 28) by applying pressure to only predetermined locations on the laminate (19, 28) using a press-bonding jig, and bonding together layers of the reinforcing fiber base material (1, 6, 32) at the pressure points throughout the direction of thickness by means of the adhesive resin (33, 34) adhered to the surface of the reinforcing fiber base material (1, 6, 32); and cooling the laminate (19, 28)