We use a simplified treatment to calculate the melting temperature of metals under a high pressure presented by Schlosser et al (1989) using Lindemann's law, the Debye model and the assumption that the Gruneisen parameter divided by the volume is constant. Although the same assumptions are made in this paper, the procedure for calculating the melting temperature under a high pressure for seven metals (Al, Ag, Au, Cu, Na, K and Rb) demonstrates that the method used in this paper has the same efficiency as that of Schlosser et al but that our method is much simpler.