A　heat-affected　zone　significantly　reduces　the　mechanical　properties　of　carbon　fiber-reinforced　plastics　(CFRP).　However,　the　beam　quality,　especially　the　stability　of　the　beam　pointing,　limits　the　heat-affected　zone　(HAZ)　minimization　studies.　In　this　study,　the　HAZ　is　reduced　by　improving　the　pointing　stability　of　the　laser　beam.　A　beam　pointing　stabilization　system　(BPSS)　based　on　position-sensitive　devices　and　fast　steering　mirrors　(FSMs)　was　developed.　The　research　focuses　on　building　a　control　model　from　the　position-sensitive　devices＇　position　deviation　signals　to　the　FSMs＇　corrected　control　angles.　The　control　model　can　detect　and　predict　the　beam　pointing　deviations　and　correct　the　attitudes　of　the　FSMs　to　correct　the　beam　pointing　deviations,　improving　the　beam　pointing　stability.　The　performance　of　the　proposed　BPSS　and　the　corresponding　control　model　were　experimentally　verified.　The　results　indicate　that　the　pointing　deviations　of　the　corrected　beam　in　the　X　and　Y　directions　are　reduced　by　78.08%　and　70.28%,　respectively.　Additionally,　the　HAZ　of　CFRP　processed　with　the　corrected　laser　is　reduced　by　30.8%.　The　quality　of　the　laser　cutting　of　CFRP　is　significantly　improved.