The development of the renewable energy and the need of medium- and high-voltage direct current circuit breakers are the keys in the development of medium- and high-voltage transmission systems. It can be used in high-voltage systems as cascaded interrupters. In this paper, the cascaded interrupters of gaseous circuit breakers are simulated using black box arc models. The influences of the models parameters on the arc interruption time are studied. MATLAB/Simulink program is employed to carry out this study. It is concluded that the simulated results by employing black box arc models achieve a success in multi-break HVDC gaseous circuit breakers simulation. Employing BBAM models has proved more flexibility to study the effect of different controlled and uncontrolled parameters on the multi-break HVDCGCB arcing time. That has proved more flexibility to study the effect of different controlled and uncontrolled parameters on the arcing time. From the investigated forty cases done to check the Mayr’s model validity in the HVDC CD simulation, it is found that the values of P and τ which give acceptable outputs are at τ=10-6s, and P in range of 107–1011 W. The output of the case τ=10-6s, P = 1010 W, which is introduced in the paper has proved that when τ reached to 10−7 s, the MOV current rises and drops and thereafter rises and gradually decreases. This may lead to CB failure; Com parameters influences on the interrupter performance are investigated and proved good simulation of the gaseous circuit breaker interrupter. The commutation parameters affecting the interrupter performance are investigated. Investigation of the change in the fault arc resistance and the fault location on the DC line on the arcing time is presented. Finally the impact of the changing of fault resistance value on arcing time and the damping resistance influence on the transient recovery voltage is also investigated. Additionally, the initial transient interruption and the metal oxide varistor voltages are analyzed.