In this study we investigate some new oscillation and nonoscillation criteria and generalize and improve some results in the literatures for second order nonlinear difference equation with generalized difference operators of the form ¢l;a(pn¢l;axn) + qn(¢l;axn)¯ = F (n; x n; ¢l;bxn); where ¢l;¾ is generalized difference operator such that defined as ¢ l;¾xn = includedx.n+l ¡ ¾xn, and F : N £ R ! _R. Also, some examples illustrating the results are