The state feedbackH∞control problem is considered in this paper. It is shown that under mild conditions this problem can be solved simply by using the conjugation approach proposed by Kimura and Kawatani with some extended treatment to the case thatT3(s)is tall and strictly proper. A partial parametrization of state feedback controllers achieving the prescribed norm bound is obtained. This is an eminent difference from previous work on the state feedbackH∞control problem where only a static feedback control law (the central solution of our result) is provided. Both four block and one block problems are solved in this paper. The results of this paper embrace those of Doyleet al.and Petersen.