A all solid-state laser with high repetition frequency and narrow pulse width for space applications is shown. The laser adopts ultra-stable double porro prism cavity, using laser diode side pumping, the rubidium titanyl phosphate (RTP) crystal as electro-optically Q-switched switch, and polarization-coupled outputting. The system achieves 1 kHz laser pulse repetition frequency, 1.15 W average power, 1.3 ns pulse width, the beam quality factor M2 of two directions of M2x =1.20, M2y=1.23, the output wavelength of 1064 nm. The laser has a compact structure and good performance, which can be used as the light source for the new space detection lidar in the future.