To stabilize the terminal normal shock on high-static pressure at outlet, called back-pressure , stability bleed slots are used in the throat of mixed-compression supersonic inlets. In this paper, a model for the functional relation between the bleed flow rate and back-pressure is established based on a bleed flow rate model (BFRM) in order to study the effect of stability bleed on the back-pressure in mixed-compression supersonic inlets. Given the inlet flow parameters , , and , the plenum pressure at slots' outlet, the terminal normal shock position in this model, the bleed flow rate , Mach number , and back-pressure were derived one by one from the basic laws of conservation. To study the effect of plenum pressure on subsonic flow of the divergent section behind the terminal normal shock, a correction coefficient is introduced to modify the Mach number . Furthermore, numerical simulations based on Reynolds-Averaged Navier–Stokes equations were performed to analyze the functional relation between the bleed flow rate and back-pressure . Computational fluid dynamics (CFD) results show that the present model agrees with the data.