In this paper, we investigate the localization in a tight-binding one-dimensional model with long-range correlated disorder, which was proposed by de Moura and Lyra. The diagonal on-site energies are distributed in ［-W/2，W/2］ and the Fourier transform S(k) of the two-point correlation function 〈εiεj〉 satisfies S(k)∝k-α with α>0. Using the participation ratio, we confirm that there is a finite range of extended eigenstates for α>2 and Wα<2.