The generation of the third harmonic for quasi-continuous laser diode(QCWLD) pumped Nd:YAG laser are studied. We compute numerically relations between light wavelength and phase-match angle, and effective nonlinear coefficient, and walk-off angle for third harmonic generation (THG) in BBO crystal. Frequency tripling experiment is done using electric-optic and acoustic-optic Q-switching Nd:YAG laser pumped by high power QCWLD. We use type II KTP crystal to generate the second harmonic(532nm) , and type I BBO crystal to generate third harmonic (355nm).Inner cavity frequency and out-cavity tripling are done. Maximum pulse energy of 1 .5mJ for 355nm is achieved.