The ωρπ coupling constant is calculated using a modified form of sum rules for the vertex function 〈0|T(Jμ(x), Jν(0))|π〉 accounting for the axial anomaly. The result gωρπ=16 GeV-1 is in good agreement with the estimates of the Vector Meson Dominance model. We show that the standard procedure gives for gωρπ a considerably smaller value compared to the experimental number. © 1988 Springer-Verlag.