A novel rice cultivar, designated `Trenasse,` is disclosed. The invention relates to the seeds of rice cultivar `Trenasse,` to the plants of rice `Trenasse,` and to methods for producing a rice plant produced by crossing the cultivar `Trenasse` with itself or another rice variety, and to single gene conversions of such plants. The invention further relates to hybrid rice seeds and plants produced by crossing the cultivar `Trenasse` with another rice cultivar.