The textile fabric contains the functions of sanitation, decoration, wearing style and washing in the practical use. Among various tetile fiber, silk has less utilities than synthetic fiber in practical use although silk has good benefits of the high quality of silk fabric. Thus no textile fiber, neither natural norsynthetic, has all the functions. In this sense, many compound fabrics have been improved to reveal various functions of fabric However, this has been disturbed with the problem of dyeing, expecially in the case of compound fabric of silk. The work is carried out to improve the dyeing method of compound fabric of polyester and silk. The results obtained are as follows: 1. In the dyeing of compound fabric(P/S fabric), azo dyes was more suitable than anthraquinone dyes. 2. According to the carrier, dyeing spot was appeared by the high concentration in bath. 3. Degree of dye fixation was decreased in dyeing of methylnaptharine carrier(D.N) and anion disperser(T.S). 4. The affinity of dye was suitable in the dyeing bath of azo dye, trichlorobenzene carrier and nonion disperser. 5. Dye fixation of silk side in compound fabric by acid dye showed higher in acid bath of dyeing. 6. In printing of silk and polyester compound fabric, it must be understood relationship among fibers, dyes, and steaming conditions.