The photonic band-gap characteristics of ten-fold quasi-periodic photonic crystal (QPC) are explored by using plane wave expansion method. The variation of the first band-gap is discussed with the dielectric constant and filling factor. It is found that there exists a linear relationship between the band-gap width and dielectric constant and there is an optimal filling factor. By comparing the band-gap of TE and TM mode, it is found that TM mode has a wider band. Furthermore, a comparison between ten-fold and eight-fold QPC proves that it is easier to produce band-gap for the ten-fold QPC.