Abstract: Experiments on acoustic emission characteristics of rock and concrete samples were carried out with a servo-hydraulic test system and a smart acoustic monitoring device.Based on these experiments,the relationship between damage variable and acoustic emission(AE) parameter was investigated,and the results showed a linear correlation between them.By using the damage constitutive model based on Weibull distribution and the empirical relationship of damage variable versus acoustic emission number,the coupling models of acoustic emission parameter versus stress and strain were formulated.Parameters in the models can be determined according to the geometric boundary conditions of the full stress-strain curve and the curve of damage variable versus acoustic emission number.The process for acquiring these model parameters is simple and easy to use.A comparison between the results of the coupling models and the measured data by uniaxial compression testing for rock samples and concrete samples proves that the coupling models can better reflect the relations of acoustic emission parameter versus stress and strain.