Abstract: The research progress and applications of functional networks (FNt) models in recent years are reviewed. At first, according to the functional network model structure characteristics, FNt models are classified into two typical types in accordance with the functional networks. Secondly, recent applications of FNt are introduced in many fields, such as times series analysis, differential equations, CAD, nonlinear regression, numerical optimize computation, nonlinear system identification, detection and prediction, complex system modeling, etc. Finally, some remarks on the further research and directions of FNt are presented.