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A static linear programming formulation for minimum weight design of frames that is basedon a matrix displacement method is presented in this paper. According to elementary theory of plasticity,minimum weight design of frames can be carried out by using only the equilibrium equations, because thesystem is statically determinate when at an incipient collapse state. In the present formulation, a staticallydeterminate released frame is defined by introducing hinges into the real frame and the bending momentsin yield constraints are expressed in terms of unit hinge rotations and the external loads respectively, byutilizing the matrix displacement method. Conventional Simplex algorithm with some modifications isutilized for the solution of linear programing problem. As the formulation is based on matrixdisplacement method, it may be easily adopted to the weight optimization of frames with displacementand deformation limitations. Four illustrative examples are also given for comparing the results to thoseobtained in previous studies.