Skobeltsyn Institute of Nuclear Physics
Lomonosov Moscow State University

New relations between QCD Borel sum rules for strong coupling constants of K-mesons to baryons are derived. It is shown that starting from the sum rule for the coupling constants $g\pi\Sigma\Sigma$ and g\pi\Sigma\Lambda$ it is straightforward to obtain corresponding sum rules for the gKYN и gKY$\Eta$ couplings, Y=$\Sigma,\Lambda$.