In this work we investigate the stability of synchronized states for the Kuramoto model on scale-free and random networks in the presence of white noise forcing. We show that for a fixed coupling constant, the robustness of the globally synchronized state against the noise is dependent on the noise intensity on both kind of networks. At low noise intensities the random networks are more robust against losing the coherency but upon increasing the noise, at a specific noise strengths the synchronization among the population vanishes suddenly. In contrast, on scale free networks the global synchronization disappears continuously at a critical of the noise intensity of much larger value respect to the random networks.
