The　behaviour　of　square　stainless　steel　tubular　(SSST)　stub　columns　after　elevated　temperatures　under　axial　compression　is　presented　in　this　paper.　A　total　of　sixty　specimens　were　tested,　including　forty-eight　SSST　stub　columns　at　elevated　temperatures　cooled　in　air,　nine　SSST　stub　columns　at　elevated　temperatures　cooled　in　water　and　three　SSST　stub　columns　at　ambient　temperature.　A　total　of　twelve　square　CFSST　stub　columns　were　carried　out　load-strain　tests.　The　main　parameters　explored　in　the　test　include　thickness　(1.0　mm,　1.2　mm,　1.5　mm),　high　temperature　duration　(30　min,　60　min,　90　min,　120　min),　temperature　ranging　from　400　degrees　C　to　1000　degrees　C　and　cooling　methods.　This　paper　presents　the　failure　modes,　ultimate　load-bearing　capacity,　load-strain　curves,　load　versus　displacement　curves,　initial　stiffness　at　the　elastic　stage　and　ductility　of　the　specimens.　It　was　found　that　high　temperature　has　the　greatest　influence　on　the　ultimate　load-bearing　capacity　of　the　columns,　and　the　cooling　methods　also　have　some　effect　on　it.　As　the　elevated　temperature　specimens　subjected　increased,　the　percentage　decrease　in　load-bearing　capacity　had　an　obvious　increase,　the　ductility　became　worse　and　the　initial　compressive　stiffness　slightly　decreased.　The　crack　resistance　of　the　specimens　improved　after　elevated　temperature.　The　axial　deformation　versus　load　curves　had　an　obvious　elastic-plastic　stage　as　the　elevated　temperature　duration　increased　to　120　min.　Based　on　the　experimental　results,　a　formula　was　proposed　to　calculate　the　ultimate　load-bearing　capacity　of　SSST　stub　columns　after　elevated　temperatures.　(C)　2019　Elsevier　Ltd.　All　rights　reserved.