In e⁺e^- annihilation at =10.6 GeV, Belle Collaboration found that J/y mesons are predominantly produced in association with an extra `cc pair. The possible mechanisms of J/y production are discussed and the probability of the associate production of `cc pair is estimated. The choice between these mechanisms can be done by measuring J/y polarization. It is suggested, that in case of heavy-ion collisions one may expect remarkable transverse polarization of produced J/y, if quark-gluon plasma if formed. The measurement of asymmetry of e⁺e^-(m⁺m^-) angular distribution in J/y e⁺e^-(m⁺m^-) decay is a useful tool for detection of quark-gluon plasma formation in heavy-ion collisions.

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