In this paper, we generalize the classical Erlang service queueing model, which has determined and crisp parameters to neutrosophic Erlang service queueing model which is more accurate because it opens the ability to deal with imprecise and incomplete knowledge of parameters. We have used the neutrosophic statistical interval method introduced by F. Smarandache to describe the parameters of the Erlang service queueing model and to find the neutrosophic performance measures.