This paper studies the problem of suboptimal state-feedback H-two/H-infinity control of stochastic systems with spectrum constraint. Concretely speaking,a mixed suboptimal H-two/H-infinity controller synthesis together with placing the spectrum into a strip region is considered,which is achieved via solving a convex optimization problem. This paper studies the problem of suboptimal state-feedback H-two / H-infinity control of stochastic systems with spectrum constraint. Concretely speaking, a mixed suboptimal H-two / H-infinity controller synthesis together with placing the spectrum into a strip region is considered, which is achieved via solving a convex optimization problem