Non-dehiscent sesame (Sesamum indicum L.) (IND) designated Sesaco 34 (S34) is herein disclosed. Its degree of shatter resistance, or seed retention, makes S34 suitable for mechanized harvesting and for selection for sesame crop growth in most geographical locations, particularly where whiteflies are a high risk factor. In addition, S34 sesame produces a larger, heavier seed than previously described varieties.