  We study non-Abelian fields in the context of very special relativity (VSR).
For this we define the covariant derivative and the gauge field gauge
transformations, both of them involving a fixed null vector $n_{\mu}$, related
to the VSR breaking of the Lorentz group to the Hom(2) or Sim(2) subgroups. As
in the Abelian case the gauge field becomes massive. Moreover we show that the
VSR gauge transformations form a closed algebra. We then write actions coupling
the gauge field to various matter fields (bosonic and fermionic). We mention
how we can use the spontaneous symmetry breaking mechanism to give a flavor
dependent VSR mass to the gauge bosons. Finally, we quantize the model using
the BRST formalism to fix the gauge. The model is renormalizable and unitary
and for non abelian groups, asymptotically free.
