In　order　to　improve　the　printing　quality,　this　study　focused　on　the　thermo-fluid-solid　coupling　process　of　ink　roller-ink.　One　of　the　highlights　of　this　study　is　to　consider　the　influence　of　temperature　on　the　rubber　hyperelastic　parameters,　viscoelastic　parameters,　and　ink　viscosity.　The　other　highlight　is　to　improve　the　elastohydrodynamic　lubrication　theory　and　Hertz　contact　theory　through　the　rubber　elastic　modulus,　which　is　determined　by　the　relaxation　curve　considering　the　temperature　and　working　conditions.　Furthermore,　based　on　the　improved　theory,　the　thermo-fluid-solid　coupling　model　of　ink　roller-ink　was　established.　Finally,　the　effect　of　temperature　on　the　coupling　process　was　analyzed.　The　results　show　that　under　the　working　conditions,　with　increasing　temperature　from　20　degrees　C　to　40　degrees　C,　the　contact　half-width　increases　from　4.2335　mm　to　4.4701　mm,　and　the　minimum　ink　film　thickness　decreases　from　0.5097　mm　to　0.1410　mm,　and　the　maximum　ink　pressure　decreases　from　0.6802　MPa　to　0.6618　MPa.