A　dry　friction　damped　vibration　system　with　elastic　stops　model　is　established.　By　using　harmonic　linearization　method　the　nonlinear　hysteretic　restoring　force　is　expressed　as　equivalent　damping　and　equivalent　stiffness.　The　first　order　approximation　of　steady-state　response　of　system　subjected　to　a　sinusoidal　excitation　is　investigated　by　means　of　the　Kryov-Bogoliubov　method.　The　analysis　shows　that　the　amplitude-frequency　characteristic　of　system　could　be　classified　into　two　kinds　which　represent　hysteretic　nonlinearity,　piecewise　linear　nonlinearity　or　the　combination　of　the　both　in　the　different　conditions　of　various　parameters.　Furthermore,　the　phenomena　of　jump　could　be　observed.　The　influence　of　changing　each　parameter　upon　the　amplitude-frequency　curve　is　discussed.