Abstract: In this paper,the state of the arts of fuzzy neural network technology is introduced from following points, the research of the characteristics of the fuzzy system and neural network as an estimator unrelated to model,the implementation of fuzzy controller using neural network. the improvement of the learning speed and quality of the neural network by using fuzzy neural network techniques,and the research of thedevelopment desktop by using object-oriented programing technique. At the same time, those new combinative technologies inchding fuzzy logic neural network, wavelet transform,genetic algorithm,and etc.are given. The new idea called Flexible CoreTheory on this subject is involved in this paper.