In present paper, we accessed high-pressure melting problem of solids thanks to the combination of the Lindemann's melting cri-E-mail addresses: hieuhk@gmail.com, hieuhk@duytan.edu.vn. terion [25] and the pressure-dependent Grüneisen parameter [26]. We carried out the relatively simple analytical expression of melting temperature as a function of pressure P. Numerical calculations of melting over a wide range of pressure were performed for Cu and ε-Fe metals. Our results were compared with recent experimental and theoretical studies when possible.