The light cone QCD sum rules are derived for the K*K pi coupling gK*K pi an
d the rho pi pi coupling g rho pi pi. The contribution from the excited sta
tes and the continuum is subtracted cleanly through the double Borel transf
orm with respect to the two external momenta, p(1)(2) p(2)(2) = (p-q)(2). O
ur result gK*K pi = (8.7 +/- 0.5) and g(rho pi pi) = (11.5 +/- 0.8) is in g
ood agreement with the experimental value.