A process for disproportionating a partially or completely halogenated fluoro derivative of methane containing not more than two fluorine atoms and at least one halogen atom other than fluorine or a completely halogenated fluoro derivative of ethane containing from 2 to 4 halogen atoms other than fluorine and correspondingly from 4 to 2 fluorine atoms, the process comprising contacting said derivative of methane or said derivative of ethane in gas phase and in a substantially moisture-free state under disproportionation conditions of a temperature of 100 to 600.degree. C and a space velocity of from 50 to 1000/hr, with a catalyst substantially composed of from 0.1 to 5.0% by weight, as metal, of a metal salt selected from the group consisting of nickel (II) halides, titanium (III) chloride and titanium (III) fluoride and a balance of a compound selected from the group consisting of activated alumina, silica.alumina and aluminum fluoride.