We present two triaxial analytical potential-density pairs that can be viewed as generalized versions of the axisymmetric Miyamoto-Nagai and Satoh galactic models. These potential-density pairs may be useful models for galaxies with box-shaped bulges. The resulting mass-density distributions are everywhere non-negative and free from singularities. Also, a few numerically calculated orbits for the Miyamoto-Nagai-like triaxial potential are presented.592319322