We generated the long-range correlated random energy sequences with the power-law spectral density s(q)∝q-p in the one-dimensional Anderson disordered chain, and then investigated the localization length by using the transfer matrix method. The density of electronic states were also analyzed with the help of the negative eigenvalue theory. Then we made a comparison between the results and that of the system which does not have long-range correlations. Our results show that after introducing the long-range correlations in the one-dimensional Anderson disordered chain, the properties of electronic states change greatly, and when the correlation exponent p≥2.0, there exists a localization-delocalization transition at the energy band center. Accordingly, the density of electronic states changes obviously and presents six van Hove singul arities, and moreover, the energy band of the system also extends slightly, accompanying the above changes.