The response between wavelength and angular of transmittance of quasi-periodic 1-D photonic crystal with left-handed materials for different polarizations was calculated by transfer matrix method.The results show:when the incidence angle θ≤10°,wavelengh response of band gaps for P and S two polarizations are the same;but when the incidence angle is lager,the response above will be significant different,the greater the incidence angle is,there will be more obvious different.When there are 5 kinds of monochromtic incident light,the angular response of band gaps for two polarizations are basically the same when incidence angle is greater or less and the shorter the wavelength of incident light,the greater the response to the same interval.