In this study, using the concepts of I-convergence and rough convergence, we introduced the notion of rough I-convergence and giving example investigated the relation between I-convergence and rough I-convergence in 2-normed space. Also, we defined the set of rough I-limit points of a sequence in 2-normed space and obtained two rough I-convergence criteria associated with this set in 2-normed space. Then, we proved that this set is closed and convex in 2-normed space. Also, we examined the relations between the set of I-cluster points and the set of rough I-limit points of a sequence in 2-normed space.