The authors demonstrated the spectral phase aberration compensation of a 1 kHz Ti∶sapphire femtosecond laser system using a deformable mirror by stretching the spectrum of the laser beam. The authors set up a set of measurement and compensation system using a deformable mirror and a spectral phase interferometry for direct electric-field reconstruction (SPIDER) instrument in a 1 kHz Ti∶sapphire femtosecond laser. The experimental result showed that the spectral phase aberration of the laser was compensated well and the beam quality was improved. It is a simple and efficient method in adaptive optics using the deformable mirror to compensate the spectral phase aberration.