Based　on　the　superelasticity　of　shape　memory　alloy　(SMA),　a　vibration-mitigation　device,　known　as　SMA　incorporated　friction　damper　is　developed　by　combining　the　SMA　wires　with　the　friction　damper.　The　design　procedures　and　working　mechanisms　of　the　SMA　incorporated　friction　damper　are　presented　in　this　paper　first.　Then,　a　theoretical　model　of　the　developed　damper　is　established.　According　to　this　theoretical　model,　the　force-displacement　hysteretic　loops　of　the　damper　are　obtained.　Finally,　dynamic　responses　of　a　SMA　incorporated　friction　damper　controlled　SDOF　system　under　earthquake　action　are　simulated.　The　numerical　results　show　that　the　proposed　damper　device　has　excellent　energy　dissipation　capacity.