The random variations in the parameters used in the traditional optimization techniques to perform the optimum design of the structural systems satisfying predefined criteria are not taken into account. Yet, the randomness in the determination of the loads, material strength, geometry of the structure, manufacturing of the members, and workmanship etc. are inevitable in the real life. Optimization performed with random parameters results in the reliability based design optimization concept. In this study, an integrated algorithm is proposed considering the parameters as being random to find the minimum value of a specified object function. The continuous and discrete design variables are considered in the optimization process. It is concluded that taking the parameters as being random in the optimization process affects the solutions and it meets the specified reliability level.