In this paper, the authors presents a simulator of multiservice queueing systems of their own design. The simulator is a module of a more elaborate program designed to investigate queueing systems and is specifically designed for verification of existing and newly developed algorithms for modelling systems of this type. The paper identifies key capabilities of the simulator with an example of a queueing system with the cFIFO (continuos first in first out) priority queue discipline. The simulator makes it possible to service a number of call streams, known from the literature of the subject, such as Poisson, Bernoulli and Pascal streams (BPP) as well as other streams, including those in which traffic parameters have been obtained empirically. The simulator presented in the paper allows researcher to obtain all parameters of queueing systems under scrutiny, while its modulelike structure makes its development to include new disciplines in queue service possible.