The invention relates to a method for converting ethylene into propylene consisting in reacting said ethylene with a supported metal compound comprising an aluminium oxide based support to which a tungsten hydride is grafted. Said reaction is carried out at a temperature ranging from 20 to 600.degree. C., preferably between 50 and 350.degree. C., at an absolute pressure ranging from 0.01 to 8 MPa, preferably between 0.01 and 1 MPa. A catalyst is regeneratable by introducing hydrogen at a temperature of 50-300.degree. C.