Abstract: This paper considers the design problem of strictly proper H∞ controllers for general generalized plants. We obtain sufficient and necessary existence conditions of strictly proper H∞ controllers via linear matrix inequality (LMI) approach. It is shown that there must exist strictly proper H∞ controllers if and only if the H∞ problem is solvable and the direct feedthrough matrix from the exogenous input to the controlled error satisfies the static conditions. An LMI-based design method for strictly proper H∞ controllers is also presented. The result generalizes some previous results about strictly proper H∞ control problems.