Coulomb Sum Rule states that the integration of the longitudinal response of a nucleus over the range of energy excitation dominated by quasi-elastic proton knock-out process should be equal to the total number of protons in the nucleus. The test of Coulomb Sum Rule will shed light on the question of whether or not the properties of nucleon are modified in the nuclear medium. In order to test the Coulomb Sum Rule in nuclei, a precision measurement of inclusive electron scattering cross sections in the quasi-elastic region was performed at Jefferson Lab. Incident electrons with energies ranging from 0.4 GeV to 4 GeV scattered from 4He, 12C, 56Fe and 208Pb nuclei at four scattering angles ( 15°, 60°, 90°, 120°) and scattered energies ranging from 0.1 GeV to 4 GeV. The Rosenbluth method with proper coulomb corrections is used to extract the transverse and longitudinal response functions at three-momentum transfers in the range 0.55 GeV/c ≤ |q| ≤ 1.0 GeV/c. The Coulomb Sum Rule is determined in the same |q| range and compared to predictions. This work is supported by the Department Of Energy through grant DE-FG02-94ER40844. / Physics