Abstract: In this paper, various dry friction models about two solid contact　surface were discussed, and the emphasis is on the hysteretic dry　friction model. Then the methods of response computation for the dry　frictionally damped vibration systems under harmonic, random and shock　excitations were discussed with the emphasis on the cases based on thehysteretic restoring force model and different computation methods were　compared. Finally, some important problems that require further studies　were pointed out.