Study of the gas heating phenomenon due to the heat joule effect in plasma created by an argon dielectric barrier discharge (DBD) reactor operating under treatment surface and medical sterilization conditions is essential to find the optimum of DBD discharge functioning. The present investigation of the influence of gas heating on argon discharge characteristics was executed by a one-dimensional fluid model. The gas temperature development in the DBD discharge was determined by the heat conduction equation. To consider the joule heating effect, the heat transport equation was solved along the gap distance of discharge. The results obtained from the coupling of a 1D fluid model with the heat conduction equation allowed us to calculate the gas temperature profile of argon in the DBD and plasma physical characteristics such as the densities of charged particles, the voltages, the electric field, and the coefficient rate of the ionization, attachment, and recombination in order to analyze the gas temperature development in argon DBD.