Abstract,In this paper we analyze the experimental data on the production of K + mesons in the pp collisions and propose a method of the unified description of these data in a broad energy range for primary protons. The production of K + mesons in the collisions of protons with nuclei is discussed. PACS: 13.85.-t; 25.40.-h to find optimum expressions, for the comparison with experiment, in a less thoroughly explored intermediate region and, possibly, will also facilitate its interpretation.In the present study we have undertaken an attempt to make such a description of the production of K § mesons in the pp and pA interactions at different energies, In more detail the results given here are outlined in [16].