This paper is concerned with the optimization of composite housing in a multi-spectral camera using Kriging algorithm. The effective use of Kriging on physical problems has been expanded to provide global approximations for optimization problems. There are two major strategies to improve efficiency and accuracy of approximate optimization using Kriging. These methods are performed by the stochastic process, stochastic-localization method (SLM), as the criterion to move the local domains and the design of experiment (DOE), the classical design and space-filling design. The proposed methodology is applied to the design of a Multi-Spectral Camera (MSC), as a practical example, which will provide high resolution panchromatic and multi-spectral images and is carried by a satellite designed to fulfill the need for further Earth observation and allowing scientists and communication experts to conduct potentially valuable experiments. When this composite structure is optimized, design constraints are taken for natural frequency and shear stress which should be considered in a launching environment.