In a recent paper, Giardina, Giberti, Hofstad, Prioriello have proved a law of large number and a central limit theorem with respect to the annealed measure for the magnetization of the Ising model on some random graphs including the random regular graph of degree 2. In this talk, we present a new proof of their results, which applies to all random regular graphs. In addition, we also study the critical behavior of this model.