The invention relates to a process for the manufacture of a ballistic-resistant molded article in which a stack of monolayers is formed, each monolayer containing unidirectionally oriented reinforcing fibers and at most 30 mass % of a plastic matrix material, the reinforcing fibers being highly-drawn polyethylene fibers, and with the fiber direction in each monolayer being rotated with respect to the fiber direction in an adjacent monolayer, the stack then being compressed at a pressure of more than 25 MPa and a temperature between 125 and 150.degree. C., and the plastic matrix material having a 100% modulus of at least 3 MPa.