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The purpose of this paper is to give a reciprocity between Uq(h) and Hn,r, the Hecke algebra of (Z/rZ) ≀ Sn introduced by Ariki and Koike [1]. The Schur-Weyl reciprocity was originally discovered for GL(m) and Sn [17, p.130]. This is the first example of dual pairs and has been generalized to various pairs of groups and algebras. Jimbo [10] proved a q-analogue of the original reciprocity, namely that between Uq(glm) and the Hecke algebra Hn of type A. A.Ram [14] utilizes the reciprocity to obtain a character formula of Hn. Let K = Q(q, u1, . . . , ur) be the field of rational funcitons in variables q, u1, . . . , ur. We adopt K as the base field for both the quantized universal enveloping algebra Uq(glr) and the Hecke algebra Hn. We denote by Uq(h) theK-subalgebra of Uq(glr) generated by q Eii ’s (1 ≤ i ≤ r). In this paper, we show that the commutant of Uq(h) in End((K r)⊗n) is isomorphic to a quotient of Hn,r. We also determine the irreducible decomposition of (K r)⊗n under the action of Hn,r. As a consequence, we obtain the reciprocity for Uq(h) and Hn,r. Let us review the classical Schur-Weyl reciprocity in a modified sense, i.e., that between U(g) and Sn,r. Here, U(g) denotes the universal enveloping algebra of g = glm1⊕· · ·⊕glmr , and Sn,r is the group consisting of n×n permutation matrices