The Gruneisen-Debye equation of state (EOS) is presented for cubic solids. The Helmholtz free energy F(T,V) is obtained from the second integral of the Gruneisen relation. F(T,V) is determined by six constants : molar volume V-0, cohesive energy epsilon(c), Debye temperature Theta(0), Gruneisen parameter Gamma, exponent delta and constant of electronic contribution to specific heat gamma’. Thermophysical and high pressure properties, such as functions of temperature T, volume V or pressure p, have been calculated for cubic elements. Volume V(T), V(p), heat capacity C-p(T), volume expansivity alpha(p)(T), bulk modulus K-T(T), K-T(p) and the pressure coefficient K-0’ = Gamma + delta + 2 show excellent agreement for the alkali metals Li, Na and K, the transition metals Cu, Ag, Au, Ni and Fe, the main group metals Al and Pb, and solid rare gas crystals Ne, Ar, Kr and Xe.