Orientation selectivity is an important property of neurons in the primary visual cortex (area 17 or V1) and plays significant roles in the perception for object shape. V1 neurons also show clear responses to the Onset and Offset of a stimulus that lasts more than 100 ms, called as Onset and Offset responses, respectively. Previous studies have focused on Onset responses, while Offset responses were neglected. We investigated orientation selectivity of both Onset and Offset responses by presenting the stimuli of oriented gratings for 200 ms and showed that the preferred orientations of Offset responses are similar to that of Onset responses for most neurons. Moreover, the orientation tuning widths of Offset responses of most cells tended to be narrower than that of Onset responses, and the response latencies of Offset oriented responses significantly were longer than those of Onset responses. The strong orientation selectivity and long response latency of Offset responses relative to those of Onset responses suggest that the intracortical feedback inputs may contribute to the enhancement in orientation tuning of Offset responses. The orientation selectivity of Offset responses provides a neural substrate for the more precise discrimination and consecutive representation of the orientated borders of a shape over time.