A model run-off-type hydropower plant is developed in MATLAB/Simulink software workspace based on the measurement signals obtained from power plant. Time constants and friction constants are calculated from the given parameter or are assumed and then later all pre-assumed parameters were validated by inter- and extrapolation with measurement signals. The power plant model starts with identification of the mathematical governing differential equations of each part which are then converted to transfer function. The block diagrams were developed using the functional blocks in the Simulink library. Individual blocks are connected to form whole system which represents the model.