Steel truss structures for point-supported glass curtain walls with a web member configuration are presented using topology optimization based on truss-like continua. The initial structure comprises chords and partial web members. The initial design domain, surrounded by the members of the initial structure, is filled with a truss-like continuum, which is used to simulate the distributive web members of a steel truss. The structure members, together with the truss-like continuum, are analysed and calculated under horizontal point forces. The densities and orientations of the truss-like members at every node are taken as design variables and optimized. The members in the truss-like continuum are optimized using the fully stressed criterion. The topology optimization problem of minimum compliance with volume constraints is solved. Thus, an optimal web member configuration that suitably reinforces the lateral stiffness of the structure is obtained.