Process for producing a laminate being built of at least two monolayers of polymeric tapes, the polymeric tapes having a tensile strength of at least 200 MPa, said process comprises the steps of forming a first monolayer of polymeric tapes by pre-tensioning the polymeric tapes and subsequently positioning the polymeric tapes under tension in a unidirectional, parallel manner, forming at least a second monolayer over the first monolayer in the same manner the first monolayer is formed, thereby stacking the at least two monolayers of polymeric tapes in such a way that the direction of the polymeric tapes is the same in every monolayer and that the polymeric tapes of each monolayer are offset to the tapes of the adjoining monolayer above or below that monolayer consolidating the thus stacked monolayers of polymeric tapes to obtain a laminate.