The higher power squeezing effects of photon field for odd and even q coherent states have been studied. We find that the squeezing effects are influenced by the values of parameter q, and the odd and even q-deformed coherent states can exhibit odd power squeezing effect but no even power squeezing effect when parameter q is taken values departure from 1 greatly, and these squeezing characteristics are different from those of the conventional odd and even coherent states.