We report resistivity measurements under pressures in the helimagnet CrAs. The helimagnetic transition with T_N ~ 265 K at ambient pressure is completely suppressed above a critical pressure of P_c ~ 0.7 GPa, and superconductivity is observed at ~2.2 K with zero resistance, which exists in a wide pressure range extending over more than 3 GPa. Both the upper critical field H_c2 and the A coefficient of resistivity increase toward P_c, suggesting that the superconductivity of CrAs is mediated by electronic correlations enhanced in the vicinity of the helimagnetic phase.