We demonstrate a sub-nanosecond MOPA system with a pulse repetition frequency of 1 kHz at 1.06 µm, based on an integrated seed source with pulse energy of 6.2 mJ and two conductively cooled end-pumped Nd:YAG slab gain modules. After a 4-pass amplification stage and a double-pass amplification stage with amplification factors of 12.6 dB and 5.84 dB, respectively, maximum pulse energy of 434 mJ with pulse duration of 691 ps was obtained, corresponding to a peak power of 628 MW. Via adjusting the pump distribution to compensate the static wavefront distortion of the signal laser, the beam quality, at the maximum pulse energy, was optimized to be 2.5 mm·mrad and 2.2 mm·mrad respectively in the vertical and transverse directions. The results benefit a variety of applications including material processing, nonlinear frequency conversion, and lidars.