Abstract Employing a realistic many-body potentials for a series of simple melts, including Ag, Al, Au, Co, Cu, Mg, Ni, Pb, Pd, Pt, Rh, and Si, we examined by the molecular-dynamics simulation the scaling laws of viscosity with different expression of the reduction parameters. Our simulation results give the sound support to early attempts at finding the universal scaling laws proposed by Rosenfeld for transport coefficients in liquid metals. Following Dzugutov, we have also arrived at a universal scaling relationship between the viscosity coefficient and excess entropy. In particular, we find that there exists a link between the scaling law and the Arrhenius law, i.e., the excess entropy scaling law for the viscosity coefficient can be interpreted as a straightforward extension of the Arrhenius law.