In the paper, a multiserver retrial queueing system with disasters is considered. We have two arrival Poisson processes – “positive” and “negative” calls. Service time is exponentially distributed. If all servers are inaccessible, an arrival positive call goes into an orbit, where it performs an exponential random delay. Disasters occur at moments of negative call arrivals, which destroy all positive calls in the system (in servers and the orbit). In the paper, the model is studied by the method of asymptotic analysis under the condition of a high rate of the positive arrival process. It is proved that the asymptotic stationary probability distribution of the number of calls in the orbit is exponential. Some numerical results are presented. The modified asymptotics is proposed based on the estimation of “zero” state probability.