A numerical investigation of the effectiveness of neutral-beam heating in two torsatron-type devices has been undertaken. A modified version of a well-known deposition and orbit code was used for this purpose. It was found that, for beam currents within the applicable range of the model, neutral beams can efficiently heat either a 'classical' torsatron or an 'ultimate' torsatron plasma provided the injection is tangential to the magnetic axis. These results were obtained by following ionized test particles down to thermalization. Efficiency of the injection drops as the angle approaches perpendicular, because of relatively poor containment of helically trapped orbits within the assumed plasma volume.