  We prove that the rank 3 analogue of the tensor model defined in
[arXiv:1111.4997 [hep-th]] is renormalizable at all orders of perturbation. The
proof is given in the momentum space. The one-loop $\gamma$- and
$\beta$-functions of the model are also determined. We find that the model with
a unique coupling constant for all interactions and a unique wave function
renormalization is asymptotically free in the UV.
