Process for the manufacture of trifluoroethylene (VF 3) from chlorotrifluoroethylene (CTFE), said process comprising the following stages, carried out at atmospheric pressure: i) introducing, into a reactor, a gas mixture A composed of hydrogen, CTFE and optionally an inert gas over a bed of catalyst based on a metal from Group VIII deposited on a support, the H 2 /CTFE molar ratio ranging from 0.5/1 to 2/1, resulting, after a sufficient contact time, in the achievement of a gas mixture B composed of the reaction products comprising VF 3 and organic byproducts, and also of unconsumed H 2, said inert gas and unconsumed CTFE and of hydracids; ii) removing the hydracids present in the mixture B by washing with water, followed by washing with a dilute base and then drying, resulting in the recovery of a gas mixture C composed of reaction products comprising VF 3 and organic byproducts, and also of unconsumed H 2, said inert gas and unconsumed CTFE; iii) passing the gas mixture C through a countercurrentwise column of a solvent, at a temperature lower than ambient temperature, resulting in the achievement, on the one hand, of the hydrogen and the inert gas and, on the other hand, of a mixture composed of organic products dissolved in said solvent; iv) desorbing, by heating to boiling point, the organic products dissolved in the solvent in order to obtain, on the one hand, the solvent, which will be recycled to the absorption, and, on the other hand, a mixture D composed of the reaction products devoid of hydrogen and of inert gas; v) distilling said mixture D of organic products, resulting in the recovery of the VF 3 at the column top and of a mixture E at the column bottom composed of unconverted CTFE and also reaction byproducts. i) introducing, into a reactor, a gas mixture A composed of hydrogen, CTFE and optionally an inert gas over a bed of catalyst based on a metal from Group VIII deposited on a support, the H 2 /CTFE molar ratio ranging from 0.5/1 to 2/1, resulting, after a sufficient contact time, in the achievement of a gas mixture B composed of the reaction products comprising VF 3 and organic byproducts, and also of unconsumed H 2, said inert gas and unconsumed CTFE and of hydracids; ii) removing the hydracids present in the mixture B by washing with water, followed by washing with a dilute base and then drying, resulting in the recovery of a gas mixture C composed of reaction products comprising VF 3 and organic byproducts, and also of unconsumed H 2, said inert gas and unconsumed CTFE; iii) passing the gas mixture C through a countercurrentwise column of a solvent, at a temperature lower than ambient temperature, resulting in the achievement, on the one hand, of the hydrogen and the inert gas and, on the other hand, of a mixture composed of organic products dissolved in said solvent; iv) desorbing, by heating to boiling point, the organic products dissolved in the solvent in order to obtain, on the one hand, the solvent, which will be recycled to the absorption, and, on the other hand, a mixture D composed of the reaction products devoid of hydrogen and of inert gas; v) distilling said mixture D of organic products, resulting in the recovery of the VF 3 at the column top and of a mixture E at the column bottom composed of unconverted CTFE and also reaction byproducts.