Fischer-Tropsch process for the synthesis of hydrocarbons by bringing a feedstock including synthesis gas into contact with a catalyst prepared by the following: a porous support is brought into contact with a cobalt metal salt of which the melting point of the cobalt metal salt is between 30 and 150° C. for between 5 minutes and 5 hours, in order to form a solid mixture, the weight ratio of said cobalt metal salt to the porous oxide support being between 0.1 and 1; the solid mixture obtained is heated with stirring under atmospheric pressure at a temperature between the melting point of the cobalt metal salt and 200° C. for a period of time of between 30 minutes and 12 hours; the solid obtained is calcined at a temperature above 200° C. and below or equal to 1100° C.