We have tried to develop a thermodynamic measurement technique with applying electric currents to investigate electron-phonon interaction in θ-(BEDT-TTF)2 CsZn(SCN)4 which belong to strongly correlated electrons systems. Since θ-(BEDT-TTF)2 CsZn(SCN)4 is reported to exhibit peculiar lattice heat capacity characterized by the Boson peak owing to the electron-phonon interaction at low temperatures, it is interesting to trace how the suppression of the fluctuations by applied electric currents (electric fields) manifest itself in the temperature dependence of the heat capacity. We have confirmed that the thermal gradient in the sample stage is negligible in the measurement. Taking the change of κ − α against temperatures into account, we have succeeded to improve reliability of the measurement. As a consequence, the heat capacity of θ-(BEDT-TTF)2 CsZn(SCN)4 do not show any systematic change by the electric fields up to about 100 m V cm−1.