This Dissertation is on the modeling of storm water drainage systems of Obura catchment area of Cross River State, Nigeria to address problem of local flooding. A current metre was used alongside a speed boat to carry out measurement of discharge as a dependable variable while cross sectional area, velocity, width and depth of channel was also determined as independent variables. The data so measured were subjected to developed a model whose result was Q = -2417.75 +11.68D + 0.33W + 1772.15V + 1.24A. The model gave a correlation r value of 0.994. Verification of the model was carried out and an r value of 0.995 was obtained all indicating a strong correlation. Furthermore, a validation test was conducted using velocity-area method for water flow measurement having a relationship as Q = AV, a correlation value of 1.0 was obtained. To check for multicollinearity, variance inflation factor (VIF) was used and VIF values of 1.853, 1.595, 1.300 and 0.011 were obtained respecting Area, Depth, Velocity and Width respectively. The model when applied will enhance the prediction of the adequate of the density of the drains to accommodate the storm runoff generated in the area. The study recommends that, proper design, computations, adequate constitutions and routine maintenance of drainage channels be made ensuring that the velocity satisfied the minimum requirement.