Experimental studies shown that the use of an electron beam sweep in order to improve the quality of formation of a welded joint allows to transform a vapor-gas channel into a stable fusion penetration cavity along the entire depth of the weld. The presence of the cavity opens up new possibilities for the control and management of electron beam welding. In this work, the authors propose a new method for monitoring the position of welded parts butt based on the working current and X-ray radiation from the fusion penetration cavity formed during longitudinal and transverse scanning of the butt by using an electron beam with an appropriate sweep shape. A mathematical model of the method is developed, which makes it possible to study the sensor characteristics is developed.