Carbon　fiber　reinforced　polymer　(CFRP)　has　the　advantages　of　high　strength　and　light　weight,　and　is　widely　used　in　aerospace,　automobile　and　other　industries.　However,　traditional　processing　methods　are　facing　problems　such　as　high　cost,　low　efficiency　and　poor　precision.　Laser　beam　cutting　may　be　applied　for　the　miniaturization　and　ultra-precision　cutting　and/or　finishing　by　appropriate　control　of　different　process　parameter.　At　present,　domestic　and　foreign　scholars　have　made　many　achievements　in　laser　machining　quality;　however,　there　is　a　lack　of　research　on　operating　cost.　Therefore,　the　cost　structure　of　laser　machining　was　analyzed,　and　a　mathematical　model　of　laser　machining　parameters　and　operating　cost　was　established　in　this　paper.　Combining　this　model　with　the　established　prediction　model　of　laser　machining　heat-affected　zone　width　as　the　objective　function,　the　NSGA-Ⅱ　algorithm　was　used　to　optimize　the　process　parameters.　The　Pareto　frontier　and　the　Pareto　optimal　solution　were　obtained.　Parameters　can　be　selected　according　to　the　operating　cost　budget　or　the　required　heat　affected　zone　width.　The　cost　and　quality　of　laser　machining　can　be　controlled.　It　provides　a　reference　for　laser　machining　of　CFRP.　©　2022,　Editorial　Department　of　Journal　of　Beijing　University　of　Technology.　All　right　reserved.