Triaxial　compression　creep　tests　were　performed　on　salt　rock　samples　using　cyclic　confining　pressure　with　a　static　axial　pressure.　The　test　results　show　that,　up　to　a　certain　time,　changes　in　the　confining　pressure　have　little　influence　on　creep　properties　of　salt　rock,　and　the　axial　creep　curve　is　smooth.　After　this　point,　the　axial　creep　curve　clearly　fluctuates　with　the　confining　pressure,　and　is　approximately　a　straight　line　both　when　the　confining　pressure　decreases　and　when　it　increases　within　one　cycle　period.　The　slope　of　these　lines　differs:　it　is　greater　when　the　confining　pressure　decreases　than　when　it　increases.　In　accordance　with　rheology　model　theory,　axial　creep　equations　were　deduced　for　Maxwell　and　Kelvin　models　under　cyclic　loading.　These　were　combined　to　establish　an　axial　creep　equation　for　the　Burgers　model.　We　supposed　that　damage　evolution　follows　an　exponential　law　during　creep　process　and　replaced　the　apparent　stress　in　creep　equation　for　the　Burgers　model　with　the　effective　stress,　the　axial　creep　damage　equation　for　the　Burgers　model　was　obtained.　The　model　suitability　was　verified　using　creep　test　results　for　salt　rock.　The　fitting　curves　are　in　excellent　agreement　with　the　test　curves,　so　the　proposed　model　can　well　reflect　the　creep　behavior　of　salt　rock　under　low-frequency　cyclic　loading.　In　particular,　it　reflects　the　fluctuations　in　creep　deformation　and　creep　rate　as　the　confining　pressure　increasing　and　decreasing　under　different　cycle　periods.