We consider a nonparametric estimator of the interaction function of pairwise interaction point process such that its Papangelou conditional intensity is translation invariant and satisfied finite-range interaction. This method of nonparametric inference is based on a single observation in a window which is assumed its volume grows unboundedly in all directions as n tends infinity. We prove uniform strong consistency of multivariate nonparametric estimates. The main problem consists in deriving appropriate for uniform strong mixing and strong mixing random fields in Z d under Dobrushin's uniqueness condition.