The invention relates to a method for metathesis of one or several reagents comprising a linear or branched hydrocarbon chain containing a double olefinic bond Csp.sup.2.dbd.Csp.sup.2 consisting in reacting said reagent or reagents with a supported metal compound comprising an aluminum oxide-based support to which a tungsten hydride is grafted. Typically, each said reagent or reagents comprises from 2 to 30 carbon atoms. The reagent can be embodied in the form of olefin. The inventive method can be used, for example for producing propylene from ethylene and butane.