A process for the non-oxidative conversion of methane simultaneously with the conversion of an organic oxygenate, represented by a general formula: CnH2n+1OCmH2m+1, wherein C, H and O are carbon, hydrogen and oxygen elements, respectively; n is an integer having a value between 1 and 4; and m is an integer having a value between zero and 4, to C2+ hydrocarbons, particularly to gasoline range C6–C10 hydrocarbons and hydrogen, using a bifunctional pentasil zeolite catalyst, having strong acid and dehydrogenation functions, at a temperature below 700° C. is disclosed. In this process the moles of methane converted per mole of oxygenate converted is above 1.0, depending upon the process conditions.