A high stability Laser source at 1064 nm for Taiji-1 satellite is reported. The key component of the Laser source is a nonplanar ring oscillator (NPRO) solid laser with linewidth of 260 Hz. Frequency noise and power noise of Laser source are greatly improved by applying precision driving current control and temperature control. The frequency noise of 0.1 MHz/sqrt(Hz)@ 0.1 Hz and the power noise of 0.02%@0.1 Hz are obtained. Its working performances in-orbit are analyzed and compared with the ground test, showing negligible variation.