Using　geometrical　optics　theory　and　off-axis　aberration　analysis,　a　set　of　crossed　double　strip　integrators　for　high　power　CO2　laser　beam　homogenizing　has　been　designed.　The　uniformity　of　the　power　distribution　on　the　working　plane　can　be　improved　without　being　affected　by　the　change　of　original　laser　beam.　And　because　all　the　elements　have　reflecting　surface,　energy　loss　is　not　serious　and　water　cooling　can　be　easily　used.