In the LiNbO3 nonlinear photonic crystals with a two-dimensional octagonal quasilattice, the collinear quasi-phase-matched second harmonic generation processes at multiple wavelengths were observed. The maximum conversion efficiency was 36%. Meanwhile, for the fist time we measured the change of the second harmonic conversion efficiency with the temperature and incident wavelength. The results show that the second harmonic has broader temperature and wavelength tuning bandwidth in long waveband. It is believed the study might be significant for the application of quasi-periodic nonlinear photonic crystal in practice.