A technique to calibrate the CsI(Tl) calorimeter of the Babar experiment was developed and implemented. The method allows a calculation of absolute calibration constants for all 6580 crystals. With these constants, a monitoring of the change of the light yield of the crystals is possible. The algorithm is based on the comparison of the measured energy and the expected deposited energy of particles in Bhabha scattering events. The measured energy is calculated from a cluster of hit crystals. The individual crystal energies are calibrated by a multiplication with a calibration constant c. The expected energy is extracted from a Monte-Carlo-Simulation. Minimizing a chi^2 term - which compares the expected and the measured cluster energies - with respect to the constants c yields a system of linear equations with a 6580x6580 matrix, that can be inverted numerically. The crystals are calibrated in an energy range of 2.5 to 8 GeV. The large rate of Bhabha scattering events at the PEP-II accelerator allows a calibration with a statistical precision of 0.32% within 12 hours of data taking at a luminosity of 3*10^33 events per square centimeter and second. The influence of systematic uncertainties was studied and estimated to be +0.81% -0.72%. Due to the calibration an energy resolution sigma_E / E of 1.8% could be obtained for electrons with an energy of 7.5 GeV. With the calibration constants a decrease in the lightyield of the endcap crystals of 2.8% could be observed between May and October 2000.