The Calorimetric Electron Telescope (CALET) is a space experiment, currently under development by Japan in collaboration with Italy and the United States. CALET will measure the flux of cosmic ray electrons (including positrons) up to 20 TeV, gamma-rays up to 10 TeV and nuclei from Z = 1 up to 40 up to 1000 TeV during a two-year mission on the International Space Station (ISS), extendable to five years. The unique feature of CALET is its thick, fully active calorimeter that allows measurements well into the TeV energy region with excellent energy resolution ( ), coupled with a fine imaging upper calorimeter to accurately identify the starting point of electromagnetic showers. For continuous high performance of the detector, it is required to calibrate each detector component on orbit. We use the measured response to minimum ionizing particles for the energy calibration, taking data in a dedicated trigger mode and selecting useful events in off-line analysis. In this paper, we present on-orbit and off-line data handling methods for the energy calibration developed through beam tests at CERN-SPS and Monte Carlo simulations.