Resistivity measurements were performed up to pressures of 10 GPa and down to temperatures of 30 mK to study the pressure-induced superconductivity of the antiferromagnetic compound CePd2Si2. A large superconducting domain is found in the range 2-7 GPa. Non-Fermi-liquid properties are observed for the pressure corresponding to optimal superconductivity at around 5 GPa where the transition temperature Tonsetc equals 520 mK. The high value of the initial slope of the superconducting upper critical field (about -10 T/K) is indicative of heavy fermion superconductivity.