Stratified smoke flow ascending along an inclined passage is mixed with lower air-flow by the turbulent shearing force at the interface. Experimental studies on density flows in an inclined channel have been reported by Ellison & Turner [1959] and Tsujimoto [1983]. Such smoke flow, however, may also be affected by the bordering of the floor, create large eddies in flow or short circuite at the smoke inlet side and it results in sencible inclease in smoke quantity. In this paper, we present the flow pattens of smoke/air flow by the execution of the numerical calculation for two dimensional steady flows by the k-ε model, and show the increasing rate of the smoke ascending the corridor under the influence of various conditions such as the slope angle, inlet smoke velecity, temperature and height, static pressure difference of both ends and the corridor length.