The　optimizing　technological　parameters　are　researched　in　grinding　process　for　bearing　race　by　way　of　Hestences　multiplier　of　optimization　theory,　which　is　respectively　based　on　the　objective　functions　for　minimizing　grinding　time　and　cost　per　piece,　subject　to　constraints　of　qualities　required　and　other　limits　considering　of　the　statistical　characteristic　of　the　mathematical　models　for　the　ground　surface　quality,　and　obtains　practical　optimal　results,　then　it　makes　deepgoing　analysis　for　the　tight　constraint　of　the　practical　optimal　results　and　gets　some　discoveries.　These　results　off　a　way　to　increase　the　productivity　decrease　the　cost　and　improve　grinding　quality.　©　2001　Trans　Tech　Publications.