This　work　proposes　a　topology　optimization　method　for　continuous　fiber-reinforced　composite　(CFRC)　structures　with　additive　manufacturing　(AM),　which　realizes　the　concurrent　optimization　of　material　layout　and　fiber　orientation.　The　residual　stress　caused　by　AM　process　is　constrained　to　avoid　the　failure　of　warpage　and　distortion.　The　inherent　strain　method　(ISM)　is　applied　to　simplify　the　calculation　of　residual　stress,　the　Tsai-Wu　criterion　and　P-norm　are　incorporated　to　realize　structural　failure　prediction　and　local　constraint　aggregation.　Several　typical　instances　are　adopted　to　verify　the　effectiveness　of　proposed　method,　which　provides　a　novel　solution　for　the　optimization　of　CFRC　structures　fabricated　by　AM.