To　get　the　more　proper　research　methods　to　high　temperature　air　combustion　(HTAC),　the　influence　of　finite　chemistry　reaction　rate　model　on　HTAC　is　numerically　analyzed　by　making　use　of　reaction　mechanisms.　The　one-step-reaction　finite　chemistry　reaction　rate,　four-step-reaction　finite　and　eddy　dissipation　model　are　considered,　respectively.　The　temperature　of　four-step-reaction　finite　is　lower　than　that　of　the　other　two　reaction　models,　because　several　positive　and　reverse　reaction　steps　are　investigated　in　it,　and　the　lower　temperature　also　restrains　the　formation　of　thermal　NOx.　It　also　leads　to　a　little　increase　of　CO2,　which　meets　to　the　properties　of　HTAC,　owing　to　the　several　reaction　steps.　The　difference　between　the　results　of　one-step-reaction　finite　and　eddy　dissipation　model　is　little　because　the　experiential　parameters　in　one-step-reaction　finite　are　obtained　from　normal　temperature.　It　can　be　concluded　that　the　finite　chemistry　reaction　rate　models　have　good　adaptability,　whether　one-step-reaction　or　four-step-reaction.