Abstract：By studying the meso-scale mechanism of the frequency effect of the non-classical nonlinear behavior， a non-classical nonlinear theory model with frequency effect is established. Using the quantitative method of studying the non-classical nonlinear behavior of rock given by Guyer，it is conveniently to get the distribution density of hysteretic elastic unit (HEU) in the so called Preisach-Mayergoyz(P-M) space. Then，a quantitative method is brought out to predict the non-classical nonlinear behavior of rock with frequency effect. With this，we simulated the behaviors of rocks under circle loading condition in several frequencies，i. e.，0.1，0.5，1，5，10，15 Hz，on computer：The results fit with those from experiments quite well. This research will be very important to the research of nonlinear wave in rock and other non-classical nonlinear materials.
