Curcumin, the major yellow-colored pigment in turmeric(Curcuma longa L.), was extracted by using supercritical carbon dioxide. Optimum extraction conditions were determined. Overall experiments were planned by central composite design and results were analyzed by response surface methodology to find effects of three independent variables, temperature(X1), co-solvent flow rate(X2) and pressure(X3) on the yield of curcumin extract(Y). Regression model optimized by response surface analysis was as follows Y = -8.581270 + 0.220770X1 + 1.176731X2 + 0.036873X3 + -0.0026816X12 - 0.013010X2X1 - 0.103353X22 + 0.000198X3X1 - 0.0000825X3X2 - 0.000096554X32. Optimum temperature, pressure and co-solvent flow rate for extracting curcumin from turmeric were 40.31oC, 3.07 ml/min and 231.59bar, respectively, and statistical maximum yield of curcumin was 1.922%.