A numerical model based on three-dimensional incompressible Navier-Stokes equations and turbulence k-e model for the simulation of turbidity currents is applied to study the flow and deposition of turbidity currents with con stant inflows into different slope changes. Simulated results show some important characteristics about the flow of tur bidity currents: the depth-averaged velocity of turbidity currents with constant inflows increases with bed slope; the higher the slope, the faster the thickness of currents increases in the downslope direction; on the nearly horizontal bed, velocity drops obviously while that from higher slope still keeps a relative higher velocity; also thickness of the currents increases almost at the same rate in the down stream direction, reflecting a slope-control on the water-entrain ment of turbidity currents. As to deposition characteristics, the simulation shows that a critical slope exists for a given sediment: when the slope is lower, there are more deposition on slope than that on horizontal bed, the whole slope in creases; while the slope is higher, there are erosion or less deposition on the slope with more deposition on down stream horizontal bed, thus resulting in a decrease in total slope. Understanding those flow and deposition characteris tics of turbidity currents may assist us in well interpreting the in-situ profiles from outcrop or seismic survey and recon structing the environment in which hydrocarbon reservoirs from.