Carbon　fiber　reinforced　polymer　(CFRP)　has　the　advantages　of　light　weight　and　high　strength,　it　is　one　of　the　main　materials　for　the　development　of　lightweight　manufacturing　industry.　However,　conventional　machining　methods　involve　high　cost　and　low　efficiency,　restricting　development.　Laser　machining　is　an　ideal　method　to　process　CFRP　by　the　interaction　between　laser　and　materials.　In　this　paper,　the　relationship　between　laser　power,　laser　frequency,　scanning　speed　and　the　width　of　heat　affected　zone(HAZ)　is　obtained　by　response　surface　methodology　(RSM),　and　a　mathematical　model　is　established.　Taking　the　established　model　as　the　objective　function,　genetic　algorithm　is　used　to　optimize　the　process　parameters.　The　optimal　combination　of　parameters　is　laser　power　6　W,　laser　frequency　515　kHz,　scanning　speed　2220.2　mm/s-2231.8　mm/s,　minimum　heat　affected　zone　width　52　mu　m.　Through　sensitivity　analysis,　it　is　found　that　laser　power　has　the　greatest　influence　on　heat　affected　zone.　The　influence　rules　and　causes　of　laser　power　and　laser　frequency,　laser　power　and　scanning　speed　on　the　width　of　HAZ　are　analyzed.