The　sample　machined　with　the　polygonal　path　is　a　common　feature　in　a　micro　laser-cutting　machine.　It　brings　a　difficult　problem　in　feedrate　planning　when　the　machining　accuracy　is　limited　to　the　scale　of　sub-micrometer.　In　this　paper,　the　transition　feedrate　at　the　node　point　is　determined　by　the　dynamic　capacity　of　a　machine.　Then,　the　jerk-limited　feedrate　planning　is　introduced　to　adjust　the　feedrate　in　a　smooth　manner.　The　feedrate　profile　is　transferred　into　the　discrete　shape　for　the　sampling　mechanism　of　the　interpolator　in　a　CNC　controller.　Moreover,　a　two-step　feedrate　planning　is　proposed　to　handle　the　problem　that,　there　exists　a　distance　error,　as　the　line　segment　is　not　divisible　by　the　step　calculated　by　feedrate　and　sample　cycle.　Firstly,　the　control　parameters,　namely,　the　command　feedrate,　acceleration　and　jerk　in　different　stage　of　the　feedrate　profile,　are　estimated　by　the　jerk-limited　feedrate　planning.　Then,　a　correction　scheme　is　developed　to　slightly　regulate　the　control　parameters.　It　aims　to　compensate　the　distance　error　caused　by　the　discretization　in　the　process　of　interpolation.　Meanwhile,　the　proposed　method　is　discussed　in　two　cases　according　to　the　length　of　the　line　segment.　The　method　of　direct　adjustment　is　applied　to　handle　the　situation　where　a　line　segment　is　long　enough;　otherwise,　the　method　of　numerical　estimation　will　take　the　place.　Finally,　a　simulation　analysis　is　presented　to　demonstrate　the　performance　of　the　proposed　method　in　feedrate　planning.　Then,　machining　experiments　are　conducted　on　the　self-developed　micro　laser-cutting　machine　to　verify　the　effeteness　of　proposed　method.　©　2019,　Springer-Verlag　London　Ltd.,　part　of　Springer　Nature.