In the present work, the Hopfield neural network model with infinite-range interactions was simulated by using the Wang-Landau algorithm. All simulations and measurements were done in the replica symmetric and broken regions of the model with discrete -/+ 1 values of random variables. The physical quantities such as energy density, specific heat were evaluated at all temperatures. Our results are in good agreement with the replica symmetric mean field solutions. (c) 2007 Elsevier B.V. All rights reserved.