The generalized even and odd coheren t states (E-O CSs) of a finite-dimensional space non-harmonic oscillator are c onstructed,and their nonclassical properties are studied by numerical method.It is found that,compare to a infinite-dimensional space,with the dimensions numbe r reducing,the unusual squeezing phenomenon is seaken in both generalized E-O C Ss,the unusual antibunching phenomenon in generalized ECSs is enhanced.And the range of appearing unusual antibunching phenomenon is reduced but the degree of antibunching effect is enhanced in generalized OCSs.