This paper presents the shape optimization of the endwall which improve the aerothermal environment of a gas turbine passage. A nonaxisymmetric endwall technique was adapted as the improving method. The turbine passage was simulated by a $90^{circ}$ turning duct ($Re_D$=360,000). The main purpose of the present investigation was to focus on finding a nonaxisymmetric endwall with minimum total pressure loss in the passage and heat transfer coefficient on the endwall of the duct. An approximate optimization method was used for the investigation to secure the computational efficiency. Results indicated that a significant improvement in aerothermal environment can be achieved through the application of a nonaxisymmetric endwall.