In this paper, the entropy squeezing of the two-level emitter interacting with vibrating graphene membrane system was investigated. The effects of coherence angle, the coupling coefficient between two-level emitter and the vibrating graphene membrane, and detuning between the transition frequency of two-level emitter and the driving field frequency on the entropy squeezing are analyzed. It is shown that the optimal entropy squeezed state can be generated by controlling the coherence angle, the coupling coefficient between two-level emitter and the vibrating graphene membrane, and the detuning between the transition frequency of two-level emitter and the driving field frequency. The proposal may provide a theoretical way to manipulate entropy squeezing of the two-level emitter in the system.