Process for transforming a gas-oil fraction that makes it possible to produce a fuel that has a quality according to stringent requirements in terms of sulfur content, aromatic compound content, cetane number, boiling point, T95, of 95% of the compounds and density, d15/4, at 15.degree. C. This process comprises a hydrorefining stage and a hydrocracking stage, whereby the latter uses a catalyst that contains at least one zeolite. The conversion of products that have a boiling point of less than 150.degree. C. is, throughout the two stages of hydrocracking and hydrorefining, less than 40% by weight and, for the hydrorefining stage, between 1 and 15% by weight. The temperature, TR2, of the hydrocracking stage is less than the temperature, TR1, of the hydrorefining stage, and the variation between temperatures TR1 and TR2 is between 0 and 80.degree. C.