Let G be a finite non-abelian group. For integer k ≥ 2, we let A1,…,Ak be non-empty subsets of G. If A1,…, Ak are pairwise disjoint and if the subset product Ai1 … Aik = {ai1 …aik |aij ∈ Aij, j = 1,…, k} coincides with G, where the Aij are all distinct and {Ai1,…, Aik} = {A1,…, Ak} then (A1,…, Ak) is called a (k, |A1|,…, |Ak|)-complete decomposition of G. For integer n ≥ 3, let D2n be the dihedral group of order n. Let A, B be the subset of D2n. In this paper, we show some constructions, namely (2, |A|, |B|)-complete decomposition of D2n where and |A| = 2n − |B|.