This paper formulates a volume minimization problem of a 3-D truss structure with the constraints on stresses and natural frequencies of specified modes. Cross-sectional areas of truss members are optimized by sequential linear programming. When the object mode is in the same direction as that of the static load considered in the strength problem, the minimization can be carried out effectively. Moreover, it is observed that the obtained structure has a good controllability in the context of the optimal regulator theory.