Hydrologic modeling is commonly used to estimate runoff from watersheds which is the most important parameter in any water resources design project. There are many hydrologic models that calculate runoff hydrograph and peak discharge with limited and specified equations. These equations may not be the representative equations of study area. Therefore this research aims to develop a new hydrologic lumped model contains most of the available runoff hydrograph and peak discharge equations to solve hydrologic problems in any watershed. The model was developed with Visual Basic programming language. The model is calibrated with results of the well-known Watershed Modeling System (WMS) hydrologic model. The calibration/validation results indicate that the new developed model is accurate and is capable of simulating the runoff hydrograph. The model is then applied to study area (Wadi Sudr in Sinai Peninsula) and the hydrologic parameters of Wadi Sudr in Sinai, Egypt are identified and determined.