The　small　punch　test　(SPT)　can　be　very　convenient　to　obtain　mechanical　properties　due　to　its　unique　advantages　from　small-volume　samples,　and　has　gained　wide　popularity　and　appreciation　among　researchers.　In　this　paper,　the　SPT　test　and　finite　element　(FE)　simulations　were　performed　for　three　alloys,　and　the　yield　stresses　(σYS)　and　ultimate　tensile　strengths　(σUTS)　from　the　uniaxial　tensile　test　(UTT)　were　correlated　with　the　yield　force　(Fy)　and　maximum　force　(Fm)　of　the　small　punch　test　(SPT)　before　and　after　compliance　calibration.　Finally,　the　effect　of　specimen　size　on　the　SPT　curves　was　discussed.　The　results　showed　that　the　deviation　between　SPT　test　and　FE　simulation　was　due　to　the　loading　system　stiffness,　which　was　confirmed　by　the　loading　system　compliance　calibration　test.　The　SPT　curves　before　and　after　calibration　have　less　influence　on　the　empirical　correlation　results　for　σUTS,　while　the　correlation　results　for　σYS　depend　on　the　method　used　to　determine　Fy　in　the　SPT　curve.　Finally,　the　simulation　results　indicated　that　the　effect　of　specimen　size　on　the　force–displacement　curve　in　the　SPT　is　slight.　This　work　also　provides　a　reference　for　subsequent　researchers　to　conduct　empirical　correlation　studies　using　different　specimen　sizes.　©　2022　by　the　authors.