Here we analyze a lattice model for fluids with directional interactions in the framework of the Ono-Kondo theory. The free energy of the system is represented as an explicit function of the temperature and bulk density. It is shown that the model predicts both order-disorder and vapor-liquid phase transitions. This theory predicts a tricritical point where the vapor-liquid and order-disorder phase transitions both disappear. Also, it predicts retrograde condensation where the boundary of phase stability becomes a multivalued function of concentration. In addition, predictions of the theory are compared with Monte Carlo simulation data. It is shown that the partition function cannot be factored to predict separately the contributions of, for example, dispersion and hydrogen bonding interactions.