A process for the non-oxidative conversion of methane simultaneously with the conversion of an organic oxygenate, represented by a general formula: C_nH_2n+1OC_mH_2m+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.