According to the research on whole curves of strain-stress of concrete materials,this paper finds there was an evident features of stages,and the discrete feature of curve is often in strain-softening stage.After data series of test being detected by dynamics of chaos,it presents that system of whole process of strain-stress evolutes from ordered steady state to low chaos state even high chaos state,system after compressive strength which curve of strain-stress is more linear one by one changes from strong ordered steady state to low chaos state;and joint system of concrete before compressive strength normally generates weak chaos state,with increase of uniaxial compressive strength of concrete materials specimens.The LE1 is proposed to be the stability criterion of concrete features in different stress stages,and the LE1 is regarded as the representative value of the system stability degree.The calculation of example shows that the stability criterion defined by the proposed method is consistent with the actual situation.