A balancing shaft unit for balancing inertia or torque in an internal combustion engine of a motor vehicle. The balancing shaft unit includes a housing part and at least one balancing shaft having at least one counterweight. The housing part is made in one piece and has at least two integrated bearing sections with a respective bearing opening. A respective cut-out is formed at longitudinal ends of the balancing shaft in which a respective bearing pin is arranged that is rigidly connected to the balancing shaft and which has a cylindrical bearing section that is supported in a respective one of the bearing openings.