In this paper, we propose a convenient method for calculating the electron energy distribution function (EEDF) in a gas-discharge plasma, where the presence of high-energy electrons results in the formation of a partial EEDF anisotropy. A detailed description of this method is provided. The performance of the proposed method is demonstrated to calculate the EEDF of plasma column of a high-voltage nanosecond discharge in argon with an extended hollow cathode. The applicability assessment of the proposed method calculating the EEDF in the plasma column of pulsed discharge sustained by the 50 Hz pulse and gas pressure from 5 to 40 Torr is given. It was shown that high-energy electrons were effectively formed in this type of discharge with an increase in the EEDF in the high-energy region. This technique can also be usefully employed for other types of discharges where fast electrons are formed.