In order to achieve the efficient second-harmonic generation with femtosecond laser pulses, we studied a noncollinear second-harmonic generation with tilted pulse fronts and a suitableproper frequency chirp of fundamental pulses. We discussed the compensation of a phase-mismatch by controlling thea frequency chirp of fundamental pulses and an improvement of thea energy conversion efficiency using with our method. When the energy conversion efficiency was less than 0.4% under a phase-mismatch condition, we experimentally obtained a 30% energy conversion efficiency with a proper frequency chirp of fundamental pulses.