Due to limited data sources, practical situations in most developing countries favor black-box models for real time flood forecasting. The Muskingum routing model, despite its limitations, is a widely used technique, and produces flood values and the time of the flood peak. This method has been extensively researched to find an ideal parameter estimation of its nonlinear forms, which require more parameters, and are not often adequate for flood routing in natural rivers with multiple peaks. This study examines the application of artificial neural network (ANN) approach based on the Muskingum equation, and compares the feedforward multilayer perceptron (FMLP) models to other reported methods that have tackled the parameter estimation of the nonlinear Muskingum model for benchmark data with a singlepeak hydrograph. Using such statistics as the sum of squared deviation, coefficient of efficiency, error of peak discharge and error of time to peak, the FMLP model showed a clear-cut superiority over other methods in flood routing of well-known benchmark data. Further, the FMLP routing model was also proven a promising model for routing real flood hydrographs with multiple peaks of the Chindwin River in northern Myanmar. Unlike other parameter estimation methods, the ANN models directly captured the routing relationship, based on the Muskingum equation and performed well in dealing with complex systems. Because ANN models avoid the complexity of physical processes, the study’s results can contribute to the real time flood forecasting in developing countries, where catchment data are scarce.