As an indispensable carrier of information dissemination, social networks have added new vitality to all kinds of information dissemination and, at the same time, brought new opportunities to national music culture inheritance. Aiming at the current development and inheritance status of local folk songs, this paper improves the original SIR model, establishes a set of kinetic evolution equations based on the SIR model, adds the strategy of employing network pushers to dispel rumors, and puts forward an improved model for the dissemination of ethnic music culture in online social networks. Then, through further analysis, based on the results of social network topological analysis, parameter values are set, and the dynamic design of simulation is carried out for the infection rate, conversion rate, immunization rate, and derivation rate of the improved model, respectively. Grasping the law of information dissemination of the current social network platform provides a theoretical basis for controlling the benign information dissemination of ethnic music culture. The survey on the perception degree of local folk songs of respondents from different regions and the scores of respondents on the dissemination methods of local folk songs, in which the dissemination method of “media and social platforms” got a score of 6.02, effectively indicating that social media platforms can be further used as a carrier for the dissemination of local folk songs and ethnic music culture. Increasing the infection rate β and derivation rate λ, decreasing the conversion rate α and decreasing the immunity rate γ in the social network can maximize the dissemination of local folk songs and promote the effective inheritance of ethnic music culture.