With the development of technology, fuzzy control algorithm is applied more and more widely in various fields. In the field of music culture dissemination and teaching management, this advanced algorithm opens up new possibilities for the creation, analysis and promotion of music. This study first discusses the basic theory and characteristics of fuzzy control algorithm, and then analyzes its specific application and potential value in music culture communication and teaching management. Through experimental verification, this paper reveals how fuzzy control algorithm plays a key role in music teaching evaluation, curriculum design and student interaction. In addition, the application of this algorithm in the intelligent classification, recommendation and analysis of music content is also studied. After comprehensive analysis, this paper summarizes the advantages and limitations of fuzzy control algorithm in the field of music, and puts forward suggestions for its future research and application.