This　paper　presents　a　new　chatter　suppression　method　for　overcoming　the　problem　that　the　stiffness　of　the　grinding　wheel　spindle　system　is　difficult　to　increase　in　the　case　of　the　internal　grinding.　This　method　employed　a　spindle　base　with　actively　controlled　compliance　to　on-line　suppress　the　grinding　chatter.　This　base　is　designed　utilizing　flexure　hinge　technique　and　controlled　using　piezoelectric　actuators.　Based　on　the　employment　of　this　compliant　spindle　base,　a　varying　stiffness　control　strategy　is　presented　to　suppress　chatter　in　the　internal　grinding.　At　last,　the　simulation　results　are　given　for　proving　the　effectiveness　of　this　control　method.