We prouve the asymptotic normality of non parametric estimator of pairwise interaction function for stationary pairwise interaction point process characterized by the Papangelou conditional intensity, and obseved on in a bounded window $\Lambda_n$ where ($\Lambda_n )_{n\geq 1}$ is a sequence of cubes growing up to $\R^d$. The proof is based on the m-approximation method in the setting of dependent random fields indexed by $\Z^d$ where $d$ is a positive integer.