The purpose of this study was to examine the dyeing properties of four kinds of composite yams that were twisted in different processes. The composite yarns consist of acetate and functional polyester in ratio of 70 : 30. The composite yams were dyed at 100$^{circ}C$ and 125$^{circ}C$ using three types of dyes, disperse dyes for acetate fiber, PET fiber and PET-acetate blended fiber, in the three primary colors. The exhaustion($\%$) and K/S value were observed for each case. Also the effects of four different twisting processes to dyeing properties and physical properties were examined. Regardless of twisting methods, the composite yarns that were dyed at 125$^{circ}C$ had higher exhaustion($\%$) than those were dyed at 100$^{circ}C$ with all three types of dyes; However, tendency of the K/S value after reduction cleaning process was measured at 100$^{circ}C$ and the value measured 125$^{circ}C$ had a great difference with disperse dyes for acetate and dyes for PET. The difference of the K/S values of composite yarns, when dyed at 100$^{circ}C$ and 125$^{circ}C$ with disperse dyes for PET-acetate blended fiber, was almost negligible. According to twisting methods K/S values were in the following order: AP1 > AP3 > AP4> AP2. This means that AP1, treated at 220$^{circ}C$, had the highest K/S value and K/S value becomes higher as the yam is higher twisted and becomes lower as lower twisted. On the other hand, the dry shrinkage and wet shrinkage showed low shrinkage rate when the twist was high and steam setting temperature was high.