We show that gauge coupling unification is realized in the presence of unbroken U(1)H which has a large kinetic mixing of O(0.1) with hypercharge. We find that the unification is essentially determined by the kinetic mixing only, and it is rather robust against the existence of vector-like matter fields charged under U(1)H and/or SU(5). This implies that we can easily accommodate the Peccei-Quinn solution to the strong CP problem. With a large U(1)H gauge coupling required to induce the large kinetic mixing, hidden matter fields significantly contribute to the electromagnetic anomaly. Consequently, the axion-photon coupling is enhanced by about a factor of 10-100 with respect to the GUT-axion models with E/N = 8/3.
