The phenomenological structure of inclusive cross-sections of the production of two neutral K-mesons in hadron-hadron, hadron-nucleus and nucleus-nucleus collisions is investigated taking into account the strangeness conservation in strong and electromagnetic interactions. The relations describing the dependence of the correlations of two short-lived and two long-lived neutral kaons K S 0 K S 0 , K L 0 K L 0 and the correlations of “mixed” pairs K S 0 K L 0 at small relative momenta upon the space-time parameters of the generation region of K 0 and \( \bar K \) 0- mesons, which involve the contributions of Bose-statistics and S-wave strong final-state interaction, have been obtained. It is shown that under the strangeness conservation the correlation functions of the pairs K S 0 K S 0 and K L 0 K L 0 , produced in the same inclusive process, coincide, and the difference between the correlation functions of the pairs K S 0 K S 0 and K S 0 K L 0 is conditioned by the production of the pairs of non-identical neutral kaons K 0 \( \bar K \) 0.