Nonlinear　self-compression　is　an　important　way　to　obtain　ultrashort　pulses　and　has　been　a　hot　research　topic.　In　this　paper,　we　propose　a　new　method　to　enhance　the　performance　of　nonlinear　self-compression　using　third-order　dispersion　(TOD).　In　the　simulation,　by　introducing　a　TOD　with　the　range　from　0　to　0.36　ps3　into　the　input　pulse,　the　tolerance　of　the　0.5　m　48/400　large-mode-area　(LMA)　passive　fiber　for　the　input　laser＇s　power　can　be　improved　by　up　to　nearly　10　times.　Accordingly,　the　output　pulse　energy　can　also　be　improved　by　up　to　nearly　10　times,　the　peak　power　can　be　improved　by　up　to　nearly　5　times,　and　the　pulse　duration　is　reduced　by　more　than　50　%.　Experimental　comparisons　of　self-compression　under　two　distinct　TOD　conditions　validate　the　enhancement　of　the　self-compression　performance　observed　with　higher　input　TOD,　aligning　well　with　the　simulation　results.　We　believe　that　this　method　holds　significant　promise　for　substantially　improving　the　performance　of　self-compression　in　existing　media,　such　as　LMA　silica　fibers　and　hollow-core　fibers.　©　2024