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This work presents a numerical model of the temperature distribution during electron beam welding, performed by circular and elliptical beam oscillation. The numerical calculations have been done using Green’s functions. A method of finding the dependence between the source power and the weld’s depth is proposed. We present the calculated temperature distribution in electron beam welded aluminium alloy AMg6 with circular and elliptical oscillating beam for different technological parameters. The experimental shape of the weld and the calculated one show a good correspondence.