The generalized even and odd coherent states of a q deformation non harmonic oscillator (E O q NHCSs) are constructed,and their nonclassical properties are studied by numerical method.It is found that,with the q deformention increasing,squeezing properties of the E q NHCSs are enhanced and those of the O q NHCSs are weaken.Bouth antibunching properties of the E q NHCSs and bunching properties of the O q NHCSs are weaken.