The electronic band structure, density of states and the behaviour of conduction and valence bands in body-centered cubic rubidium and cesium, particularly under varying pressure conditions are studied. This study examines the relationship between the lattice constant, pressure, and reduced volume for rubidium and cesium, offering insights into their structural properties. Additionally, the distribution of electron energy levels is analyzed using the density of states across various energy regions. The conduction and valence band widths are calculated relative to the Fermi level and mapped across key symmetry points in the Brillouin zone.