In　allusion　to　the　problem　of　data　sampling　interpolation　error　which　exists　in　continuous　micro-line　segments　interpolation　algorithm　with　acceleration　/deceleration　control,　this　paper　proposes　a　high-precision　positioning　and　speed　smooth　transition　control　algorithm　for　terminal　point　of　micro-line　segment.　The　linear　acceleration/deceleration　mode　was　taken　as　an　example　to　derive　a　motion　control　algorithm,　which　can　eliminate　the　rounding　error　of　the　interpolation　with　fine　adjusting　the　reserved　parameters　of　acceleration　/deceleration　process　when　micro-line　segment　starting　point　and　terminal　point　velocity　are　not　zero.　Simulation　analysis　and　experiments　of　motion　control　shows　that　the　algorithm　greatly　improves　the　control　accuracy　of　the　joint　point　position　of　micro-line　segments,　achieves　the　continuous　smooth　transition　at　the　feed　speed　of　the　joint　point　of　adjacent　line　segments　and　the　uniformity　of　the　velocity　in　specific　line　segment.　©　(2011)　Trans　Tech　Publications,　Switzerland.