Time-Triggered　Ethernet　(TTEthernet)　efficiently　integrates　distributed　applications　with　different　security　levels　and　real-time　requirements　in　the　mixed-criticality　system.　The　key　of　TTEthernet　is　the　time-triggered　mechanism　that　is　achieved　by　following　statically　time　slot　schedule.　In　the　paper,　the　network　model　and　constraint　model　are　mathematically　detailed　and　exemplified.　Constraint　programming　technology　based　on　ILOG　CPLEX　is　applied　innovatively　in　solve　the　TTEthernet　schedule　synthesis　problem.　Finally,　three　topologies　and　two　message　density　scenarios　are　set　up　to　evaluate　the　performance　of　the　algorithm　in　variables,　constraint,　memory　occupancy,　and　synthesis　time　dimensions.　Numerous　experiment　results　show　that　the　schedule　synthesis　method　is　well　qualified　for　the　schedules　synthesis　tasks　of　TTEthernet.　©　2020　IEEE.