A protective pad for a sports helmet having a shell for covering at least part of the head of a wearer, the pad including a first resilient shock absorbing member of plastic such as thermoplastic polyurethane, the first member having a sheet portion with a plurality of hollow protrusions, tapering side walls of the protrusions extending substantially to an inside surface of the side area of the shell and being compressible for absorbing shocks applied to the shell. The pad includes a second resilient shock absorbing member of a monolithic block of foam fixed to the sheet portion of the first member for engaging the wearer's head. A plastic cover covers the second shock absorbing member and a plurality of fasteners removably connects the pad at to the shell by at least some of the protrusions.