An exhaust gas turbocharger for an internal combustion engine, includes a turbine; a bypass line fluidly arranged parallel to the turbine; and a cross section adjustment element for adjusting a flow cross section of the bypass line, wherein the cross section adjustment element being configured as a ball valve having a valve housing, two bearing shells arranged in the valve housing and a valve element. The valve element is floatingly supported in the valve housing and arranged between the two bearing shells with a tolerance in a direction which is angled with respect to a rotation axis of the valve element.