Abstract A theoretical model of electronic excitation energy transport between finite-size interacting molecules has been presented. To develop the model we have considered the respective finite-size particles distribution functions and their relation to the energy transfer process. Using appropriate averaging procedures, we calculated donor fluorescence decay profiles for one-dimensional molecular systems. A discussion of the results and a comparison with the findings of other authors are presented. It was shown that at a given concentration of interacting particles finite-size effects lead to significantly slower donor fluorescence decay profiles in comparison with point-like molecules considered in the Förster theory. We have also presented equations describing donor fluorescence decay profiles due to interaction with nearest-neighbor acceptor molecules.