Continuous　fiber-reinforced　composites　are　increasingly　favored　in　high-end　equipment　manufacturing　fields　such　as　aerospace　engineering　due　to　their　lightweight,　high　specific　strength,　and　high　specific　modulus.　Meanwhile,the　development　of　continuous　fiber　3D　printing　technology　makes　it　possible　to　fabricate　structures　with　complex　geometric　configurations　and　fiber　distribution.　To　sufficiently　utilize　the　multi-scale　designability　of　composites　and　obtain　better　structural　properties,　a　multi-scale　topology　optimization　method　for　continuous　fiber-reinforced　composite　structures　based　on　independent　continuous　topology　variables　is　proposed　in　this　paper.　This　method　introduces　a　fiber　orientation　interpolation　strategy　based　on　principal　stresses　to　determine　local　optima　in　the　fiber　angle　optimization　process,　and　realizes　the　concurrent　optimization　design　of　macro-topology,　micro-fiber　orientation　and　density　of　continuous　fiber　composite　structures.　Topology　and　fiber　orientation　design　variables　are　updated　through　the　method　of　moving　asymptotes　(MMA).　Numerical　examples　are　provided　to　verify　the　effectiveness　and　stability　of　the　proposed　method,which　has　guiding　significance　for　the　structural　design　and　path　planning　of　continuous　fiber-reinforced　composite　structures.　©　2024　Editorial　Office　of　Chinese　Journal　of　Computational　Mechanics.　All　rights　reserved.