A device for fastening a turbocharger to a base, with a fastening foot (12) which is integrally formed in one piece on a gas outlet casing (10) of the turbocharger and which has long holes (16) spaced from one another and preferably arranged in a star-shaped manner in relation to one another. In order to fasten the turbocharger, sliding shoes (26) are capable of being inserted into the long holes (16) and have continuous orifices, through which can be led fastening elements (30, 30′) capable of being fixed in the base.