In order to deal effectively with some practical problems,such as the disturbance and failure of rock foundation,slope and underground rock engineering,coal-rock disturbance and bursts etc.It is very necessary to study the response law and features of rock engineering after disturbance.Based on disturbed state concept(DSC) theory,an expression of disturbance function for the quasi-brittle rock materials as coal-rock was theoretically deduced through defining the relative intact state and fully adjusted state of quasi-brittle rock materials,a constitutive model reflecting the disturbance of quasi-brittle rock materials as coal-rock was established,and the analysis formulas of the parameters of the model were presented.The triaxial compression tests on coal-rock and sandstone were made,and it showed that the result obtained by the established constitutive model was in accordance with the one of the test,this proved that the established constitutive model can be used to identify the disturbance function and stress-strain of the quasi-brittle rock materials as coal-rock under any disturbance state in the process of structural micro-adjustment,thus it provides a new way to study the mechanical properties of disturbed quasi-brittle engineering materials as coal-rock.