In this paper, we use the notion of ideal convergence (I-convergence) to introduce Tribonacci I-convergent sequence spaces, that is, c I 0 (T), c I (T) and l I ∞ (T) as a domain of regular Tribonacci matrix T = (t jn) (constructed by the Tribonacci sequence). We also present few inclusion relations and prove some topological and algebraic properties based results with respect to these spaces.