Adaptive network based fuzzy inference system (ANFIS) is an intelligent neuro-fuzzy technique which has proven to be able to model and control of various nonlinear and uncertain systems. The research presented in this paper aims to develop a new original fuzzy model of single-phase HV power supply of microwave magnetron. The design of this system is composed of leakage flux transformer with magnetic shunts supplying a cell, which multiples the voltage and stabilizes the current and one magnetron at the output of the cell. An equivalent model of this transformer is presented taking account the characteristics of the magnetron. It is based on the development of a new diagram block of non-linear inductance, using the Adaptive Neuro-Fuzzy Inference System (ANFIS). This model was validated under MATLAB-SIMULINK© near the nominal state. The results obtained by simulation are in good agreement with experimental measurements.