  We calculate the rapidity distribution and the total cross section of
coherent and incoherent $\rho$-production in the heavy ion ultraperipheral
collisions (UPC) at $\surd s_{NN}=130$ GeV using the generalized vector
dominance model(GVDM) and the Gribov- Glauber approach. We find the coherent
cross section of $\rho $-production $\sigma_{coh}=490$ mb compared to the
$\sigma_{coh}=370\pm 170\pm 80$ mb recently reported by the STAR collaboration
at RHIC. The predicted cross section inside the acceptance of the experiment,
$|y|\le 1$, agrees with the data. It is emphasized that measurements of the
rapidity distribution will provide a much more stringent test of the model.
