The binding energy per electron for different metals was calculated using the structureless pseudopotential model and the jellium model of solids. The variation of the calculated binding energy per electron for metals with electron density parameter was studied for monovalent, divalent, trivalent and polyvalent metals. Also, the calculated binding energy per electron for the metals was compared with available experimental values. Results obtained showed that while binding energy per electron calculated using the jellium model decreases with increase in electron density parameter, binding energy per electron calculated using the structureless pseudopotential model increases with an increase in electron density parameter. Unlike binding energy per electron calculated using the jellium model, the binding energy per electron calculated using the structureless pseudopotential model was in very good agreement with available experimental values. The degree of agreement with experimental values was found to decreases with an increase in the valence of the metals. This study reveals that the structureless pseudopotential model could be used to calculate properties of metals that the jellium model could not give results that are in good agreement with experimental values.