In this paper, we consider the design problem of simultaneous stabilizing controller which takes into account various closed-loop performances, e.g. sensitivity or robust stability etc.. Using the parametrization of simultaneous stabilizing controller, this problem is formulated as a standard model-matching-type problem whose objective function is affine in the design parameter. Under this formulation, a simple sufficient condition to achieve simultaneous stabilization is derived as in the form of an inequality H_∞ norm constraint on the design parameter. Moreover, we show that the presented design problem including above constraint can be cast as convex optimization problem. By a design example, the effectiveness of the proposed method is presented.