The oil/water liquid membrane oscillator which has been intensively investigated in recent years is generally considered a promising model for excitable biomembranes. The present work deals with the stochastic resonance (SR) phenomena liquid membrane oscillators with the model proposed by Yoshikawa, and the mechanism of SR and some interesting behaviors are also discussed. When SR occurs, the input signal is greatly amplified with the cooperation of noise and the output signal-to-noise ratio is also dramatically enhanced. We consider SR as a possible functional mechanism of some sensory cells.