The oil and gas industry has been constantly affected by numerous blowouts since it was evolved. Blowout which is caused mainly by kick, leads to loss of valuable reserves and also causes property damage along with loss of life. Subsea blowout preventer (BOP) stack is the key equipment which ensures the safety of wellbore operation. Once the blowout occurs, the control system of BOP will actuate the corresponding valve and close the preventer within a specified time. This paper investigated the dynamic behavior of hydraulic control system of deepwater subsea BOP stacks. Mathematic simulation models of the ram and annular preventers are established by using SimulationX software. Different cases are studied to verify whether it is appropriate to be operated according to API requirements at the water depth of 1 524 m.