In this paper, we proved that for every subset X of U there is a corresponding ideal JX of the rough semiring (T, ∆, ∇) also we gave a characterization theorem for the ideals in the rough semiring (T, ∆, ∇) by proving every ideal in (T, ∆, ∇) will be of the form JX for some subset X of U and the properties of these ideals are discussed with suitable examples. © 2017, Transilvania University of Brasov 1. All rights reserved.