The phenomenological structure of inclusive cross-sections of the production of two neutral K mesons in collisions of hadrons and nuclei is investigated taking into account the strangeness conservation in strong and electromagnetic interactions. Relations describing the dependenceof the correlations of two short-lived and two long-lived neutral kaons and the correlations of “mixed” pairs at small relative momenta upon the space-time parameters of the generation region of K∘ and mesons have been obtained. It is shown that under the strangeness conservation the correlation functions of the pairs and , produced in the same inclusive process, coincide, and the difference between the correlation functions of the pairs and is conditioned exclusively by the production of the pairs of non-identical neutral kaons . Analogous correlations for the pairs of neutral heavy mesons D∘,B∘ and , generated in multiple processes with the charm (beauty) conservation, are analyzed, and differences from the case of neutral K mesons are discussed.