Abstract: The generalized even and odd coherent states of a q-Deformation Non-harmonic Oscillator(E-O q- NHCSs) a reconstructed, their Higher-Order Squeezing and Antibunching Prope rties are studied in detai l. It is increasing the Squeezing effect in different parameter ranges.With q- deformation increasing, the squeezing effect of E q-NHCSs a re weakened and those of O q- NHCSs are enhanced.The E q- NHCSs appear high- order(N≥2) a ntibunching properties while the Oq- NHCSs appear high- order bunching properties in some ranges of the parameter q and r² with the q- deformation in -creasing. Both antibunching effects of E q- N HCSs and bunching effects of O q- NHCSs are enhanced.

Key words: generalized even and odd q- coherent states, higher- order squeezing, higher-order antibunching