A dual-wavelength solid-state laser with high repetition rate and narrow pulse width at 1 064 nm and 532 nm line of electro-optical Q-switched and master oscillator power-amplifier (MOPA) technology is introduced. Using Nd:YVO4 crystal as laser gain medium and electro-optical Q-switched, the 1 064 nm local oscillator laser output is obtained, In order to obtain stable pulse laser output, on the basis of the local oscillator level of the laser, the two-stage traveling wave amplification is carried out. When two-stage amplified pump current is 6.7 A and the repetition rate is 10 kHz, the output power is 31.4 W and the pulse width is 6.2 ns. The power stability root mean square (RMS) is 0.25 %. The output power of 16.6 W 532 nm laser is obtained by extra-cavity double-frequency. The conversion efficiency from 1 064 nm fundamental light to 532 nm frequency doubling is 53%.