A process for making a supported, single-site catalyst is disclosed. The transition metal of the catalyst is tethered through a bridged, bidentate ligand that is covalently bound to the support. The catalyst is prepared in a two-step process that involves preparation of a supported ligand from an amine-functionalized support, followed by reaction of the supported ligand with a transition metal compound to give the “tethered”catalyst. An olefin polymerization process that uses the supported catalyst is also disclosed.