To provide a cellulose composite yarn which does not give a sticky feeling and an uncomfortable feeling, even when a wearer sweats during wearing, has excellent moisture absorbability, hardly give a stuffy feeling, has a refreshing property, is excellent in stretchability and slippage, does not give a restraining feeling also when moved, little gives a physical frictional irritation, and is suitable for men's underwear, and the like; and to provide a woven or knitted fabric.

There are provided the cellulose composite yarn formed by blending cellulose fiber multifilaments with synthetic fiber multifilaments and then twisting the blended multifilaments, wherein the blend rate of the cellulose fiber multifilaments is 50-85 wt.%; the woven or knitted fabric in at least one whose portion the composite yarns are arranged. A method for producing the cellulose composite yarn is also provided.