Noncollinear chirp-compensated second-harmonic generation with subpicosecond laser pulses is discussed with regard to an optical system that includes two dispersive elements and a nonlinear optical crystal. Through the optimization of two dispersive elements, phase and group-velocity matches as well as chirp compensation can be satisfied simultaneously. Numerical results show that temporal compression in second-harmonic pulse is achievable under the condition that the first-order phase difference is completely compensated.