Process for the manufacture of 1,2-epoxy-3-chloropropane by reaction between allyl chloride and hydrogen peroxide in the presence of a solid catalyst and in the possible presence of at least one solvent in an epoxidation medium comprising at least two liquid phases under the conditions of reaction, comprising feeding continuously a reaction zone comprising the catalyst with at least allyl chloride, hydrogen peroxide and possibly at least one solvent at a total liquid linear velocity higher than or equal to 0.01 m/s and lower than or equal to 1 m/s, wherein the pressure drop across the reaction zone is lower than or equal to 25 kPa/m.