NOVELTY - The method comprises attaching (101) organic functional groups to the surfaces of a carbon material in a functionalized carbon support, dispersing (102) the functionalized carbon support in an organic liquid, making a complex of the tantalum-containing metalorganic precursor, forming a mixture by adding (103) a tantalum-containing metalorganic precursor to the organic liquid containing the functionalized carbon support, and reacting (104) alkoxide groups of the tantalum-containing metalorganic precursor with the functional groups on the surface of the functionalized carbon support.    USE - The method is useful for fabricating a hybrid nanocomposite catalyst, which is useful for proton exchange membrane fuel cells (claimed).    ADVANTAGE - The method is capable of economically fabricating the hybrid nanocomposite catalyst with increased reduction current density thus providing good electrical conductivity and improved stack performance to the fuel cell.    DETAILED DESCRIPTION - The method comprises attaching (101) organic functional groups to the surfaces of a carbon material in a functionalized carbon support, dispersing (102) the functionalized carbon support in an organic liquid, making a complex of the tantalum-containing metalorganic precursor, forming a mixture by adding (103) a tantalum-containing metalorganic precursor to the organic liquid containing the functionalized carbon support, and reacting (104) alkoxide groups of the tantalum-containing metalorganic precursor with the functional groups on the surface of the functionalized carbon support to form a covalent bond between tantalum oxide nanoparticles and the carbon support. The hybrid nanocomposite comprises tantalum pentoxide nanoparticles on the carbon support. The functional group comprises a carboxyl, a carbonyl or a hydroxyl group. The tantalum-containing metalorganic precursor is 5-75 wt.% of the mixture. The mixture comprises a volumetric ratio of tantalum-containing metalorganic precursor to organic liquid 1:30-1:15. The reaction of the alkoxide groups of the tantalum-containing metalorganic precursor comprises hydrolyzing or condensing. The tantalum oxide nanoparticles have diameters of less than or equal to 100 nm. An INDEPENDENT CLAIM is included for a catalyst for proton exchange membrane fuel cells.    DESCRIPTION OF DRAWING(S) - The figure shows a block diagram of a method of fabricating a hybrid nanocomposite catalyst.    Attaching a surface of a carbon material (101)    Dispersing the functionalized carbon in an organic liquid (102)    Adding tantalum-containing metalorganic precursor (103)    Reacting alkoxide group with the functionalized surface of the carbon material. (104)