An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. In [8], Kostyrko et al., introduced the concept of ideal convergence as a sequence (x_k) of real numbers is said to be I-convergent to a real number l, if for each ε > 0 the set {k ∈ N : |x_k - l| ≥ ε} belongs to I. The aim of this paper is to introduce and study the notion of λ-ideal convergence in intuitionistic fuzzy 2-normed space as a variant of the notion of ideal convergence. Also I_λ-limit points and I_λ-cluster points have been defined and the relation between them has been established. Furthermore, Cauchy and I_λ-Cauchy sequences are introduced and studied.
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