We show that the property of linearity for a line of unit compressibility factor (Zeno line) can be confirmed for metals (Al, Cu, and U) in liquid phase. The embedded atom potentials (EAM) have been used to describe the interaction between the particles. The numerical simulations within Monte Carlo (MC) technique with the EAM potential have resulted in the straight Zeno-line for considered metals and have allowed us to define the Zeno line parameters. The similarity relations between the critical and the Zeno line parameters, which were observed previously for nonmetallic substances, have appeared to be valid for Al and Cu as well. For uranium there is a contradiction between the calculated and experimental data, indicating the limitation for these similarities.