Understanding　the　mechanism　of　mode-locking　in　a　laser　with　high-order　transverse　mode　is　important　for　achieving　an　ultrashort　pulses　train　under　more　complicated　conditions.　So　far,　mode-locking　with　high-order　transverse　mode　has　not　been　reported　in　other　lasers　except　the　multimode　fiber　laser.　This　paper　demonstrates　robust　mode-locking　with　high-order　transverse　mode　in　a　Kerr-lens　mode-locked　vertical-external-cavity　surface-emitting　laser　for　the　first　time,　to　the　best　of　our　knowledge.　While　the　longitudinal　modes　are　locked,　continuous　mode-locking　accompanied　by　high-order　transverse　mode　up　to　TEM40　is　observed.　The　threshold　of　the　mode-locking　is　only　a　little　bigger　than　that　of　the　lasing.　After　the　laser　oscillation　is　built　up,　the　mode-locked　pulse　train　can　be　obtained　almost　immediately　and　maintained　until　the　thermal　rollover　of　the　laser.　Output　powers　of　717　mW　under　fundamental　mode　and　666　mW　under　high-order　transverse　mode　are　achieved　with　a　4.3　ps　pulse　duration　and　1.1　GHz　pulses　repetition　rate,　and　some　phenomenological　explanations　to　the　related　characteristics　of　the　mode-locked　operation　of　high-order　transverse　mode　in　the　vertical-external-cavity　surface-emitting　laser　are　proposed.　©　2024　by　the　authors.