In this paper, a novel type of Annular Connecting Straight Cylinder Engine (ACSCE) is proposed, and an innovative dynamic position gas distribution system based on airway reuse is designed. Combined with the characteristics of the differential rotation of the rotor cylinder, the thermodynamic model of the air-powered working process for ACSCE is established. The mathematical structure model of the gas distribution system is also described, and the influence of different parameters of the gas distribution port, including the position angle, size and shape, on in-cylinder working pressure of ACSCE are analysed. The simulation and experimental results show that the position angle of the intake and exhaust ports of the Central Valve Shaft (CVS) has a greater impact on incylinder working pressure, while the port size of CVS has a relatively small effect, and the port size of the Rotary Valve (RV) also has a great impact on in-cylinder working pressure, while the port shape has less effect. When the intake port position angle φ z 0 = 78°, the exhaust port position angleφ z 0 ' = 30 o , the intake port size d 1 =10 mm , the exhaust port size d 1 ' =14 mm of CVS and the port size d 2 = 6 mm of RV, the ACSCE can be in correct gas distribution state and work stably.