Literature　on　the　suppression　of　chatter　induced　in　machining　process　is　reviewed.　On　account　of　their　resources　and　features,　the　strategies　are　divided　into　two　categories,　i.e.　the　control　of　machine　tool　structure　and　the　control　of　cutting　process,　and　the　former　is　further　divided　into　active　control,　semi-active　control　and　passive　control　methods.　The　key　achievements　under　each　category　are　summarized　and　the　recent　advances　are　introduced.　There　still　exist　theoretical　constraints　related　to　cutting　chatter　control.　The　emergence　of　some　new　techniques　and　new　materials　promote　the　rapid　development　of　this　subject,　whereas　those　ideas　and　materials　themselves　also　face　a　number　of　development　obstacles　urgently　needing　breaking　through.　The　developing　methods　of　intelligent　control　based　on　smart　materials　and　intelligent　control　schemes　such　as　fuzzy　control　and　artificial　neural　networks,　are　also　denoted　considering　the　time-varying　and　nonlinear　features　of　the　machining　process.　The　general　development　status　is　evaluated　in　the　conclusion.　©　2010　Journal　of　Mechanical　Engineering.