A turbocharger mounting system pivotally mounts a turbocharger on an internal combustion engine. The turbocharger mounting system has a turbocharger unit connected to a mounting mechanism. The turbocharger unit has a first flange and a second flange. The mounting mechanism has multiple clamping devices mounted on a support base. The clamping devices pivotally mount the first and second flanges on the support base. The turbocharger has a fixed connection with the first flange. The fixed connection limits the horizontal movement of the first flange. The turbocharger has a floating connection with the second flange. The floating connection permits the horizontal movement of the second flange.