We consider inflationary models in which vector fields (VF) are responsible for part or eventually all of the primordial curvature perturbation ζ. Such models are phenomenologically interesting since they naturally introduce anisotropies in the probability distribution function of the primordial fluctuations that can leave a measurable imprint in the cosmic microwave background. Assuming that non-Gaussianity (NG) is generated due to the superhorizon evolution, we use the δN formalism to do a complete tree level calculation of the NG parameters f NL and τ NL in the presence of VF. We isolate the isotropic pieces of the NG parameters, which anyway have contributions from the VF, and show that they obey the Suyama–Yamaguchi (SY) consistency relation [Formula: see text]. Other ways of defining the NG parameters, which could be observationally relevant, are stated and the respective SY-like consistency relations are obtained.