  We study the capability of a $2 TeV$ $p\overline{p}$ collider with an
integrated luminosity of $10 fb^{-1}$ to study CP violation in the processes $p
\bar{p} \ra W^\pm \gamma$ and $p \bar{p} \ra Z \gamma$. We assume the existence
of new CP violating interactions beyond the standard model which we describe
with an effective Lagrangian. We find that the study of CP-odd observables
would allow this machine to place bounds on CP violating anomalous couplings
similar to the bounds that the same machine can place on $\cp$ conserving
anomalous couplings. For example it could place the bound
$|\tilde{\kappa}_\gamma|<0.1$ at the 95% confidence level.
