According　to　the　production　characteristics　of　flexible　job　shop　scheduling　in　practice,　the　initial　solution　is　generated　by　random　Numbers,　Gantt　chart　is　drawn,　and　the　maximum　process　time　is　calculated.　Then,　a　simplified　algorithm　is　proposed　with　reference　to　Johnson＇s　algorithm.　Combining　Johnson　algorithm　and　least　time　principle　and　minimum　principle,　puts　forward　a　simplified　algorithm.　Johnson　algorithm　applies　only　to　the　limitations　of　two　machine　scheduling,　this　simplified　algorithm　extends　the　algorithm　performance,　so　the　job-shop　scheduling　of　multiple　machines　can　also　be　calculated,　and　the　simplified　algorithm　is　applied　to　an　example.　By　comparing　the　optimized　algorithm　with　the　initial　random　solution　with　the　obtained　data,　the　effectiveness　and　superiority　of　the　algorithm　can　be　seen.