We suggest a new nonparametric estimate of the interaction function of pairwise interaction point process on $\R^d$ such that its Papangelou conditional intensity is translation invariant and satisfied finite-range interaction. We prove uniform strong consistency of the nonparametric estimate of the interaction function . Sufficient conditions of the rates of uniform strong consistency for the resulting kernel-type estimator are valid by the nonuniform mixing condition for a stationary point process, which can be viewed interchangeably as a lattice field in $\Z^d$.