In this work, the existence of oscillatory solution of first order nonlinear neutral impulsive difference equations of form: $$\begin{aligned} {\left\{ \begin{array}{ll} \Delta [x(n)-p(n)f(x(n-\tau ))] + q(n)h(x(n-\sigma ))=0,\, n\ne m_j\\ {\underline{\Delta }}[x(m_j-1)-p(m_j-1)f(x(m_j-\tau -1))] +r(m_j-1)h(x(m_j -\sigma -1))=0,\, j\in \mathbb {N} \end{array}\right. } \end{aligned}$$ is discussed for the various ranges of the neutral coefficient p(n). The technique employed here is due to the linearizaton method by using Banach contraction principle and Knaster-Tarski fixed point theorem. Some examples are given to show the feasibility and effectiveness of our results.