Finite Difference Method was applied for modeling the unsteady one-dimensional density currents. Experimental data (from Chen, 2007) was used to calibrate and determine two important parameters, water entrainment efficiency (E(subscript w)) and total drag coefficient (C(subscript d)). The 1-D model simulated well on both the entrance developing section and mass transfer of saline density current for a long distance (40m). Simulation of turbidity currents was compared with saline density currents. Based on the analysis of wave shape, and the depth-average thickness, both currents were similar.