A process for the preparation of a catalyst for the isomerization of an aromatic cut containing at least one aromatic compound containing eight carbon atoms per molecule from an initial zeolite with structure type EUO having an overall Si/Al atomic ratio in the range 5 to 100, said catalyst comprising at least one matrix and at least one metal from group VIII, said process comprising at least the following steps: i) a step for desilication of said initial zeolite with structure type EUO by suspension in an alkaline solution with a normality in the range 0.5 to 2M, stirring at a stirring speed in the range 100 to 1000 rpm, and heating to a temperature in the range 40°C to 100°C for a period in the range 5 min to 24 h; ii) a step for washing the zeolite obtained from step i) with distilled water; iii) a step for preparation of a support by shaping said washed EUO zeolite obtained from step ii) with a matrix in a manner such that the percentage by weight of the zeolite is in the range 3% to 80% with respect to the weight of the support; iv) at least one step for ion exchange of the washed zeolite obtained from step ii) or the support obtained from step iii) in a manner such as to eliminate at least a portion of the alkaline cation present in the cationic position in the zeolite; v) a step for depositing at least one metal from group VIII of the periodic classification of the elements onto said exchanged zeolite obtained from step iv) or said exchanged support obtained from step iv) in a manner such that the percentage by weight of said metal is 0.01% to 4% with respect to the weight of the catalyst, process in which the matrix for shaping the support is selected from clays, magnesia, aluminas, silicas, titanium oxide, boron oxide, zirconia, aluminium phosphates, titanium phosphates, zirconium phosphates, silica-aluminas and carbon, or a mixture of at least two of these compositions, and in which said alkaline solution is an aqueous alkaline solution based on lithium hydroxide LiOH, sodium hydroxide NaOH, potassium hydroxide KOH or caesium hydroxide CsOH. i) a step for desilication of said initial zeolite with structure type EUO by suspension in an alkaline solution with a normality in the range 0.5 to 2M, stirring at a stirring speed in the range 100 to 1000 rpm, and heating to a temperature in the range 40°C to 100°C for a period in the range 5 min to 24 h; ii) a step for washing the zeolite obtained from step i) with distilled water; iii) a step for preparation of a support by shaping said washed EUO zeolite obtained from step ii) with a matrix in a manner such that the percentage by weight of the zeolite is in the range 3% to 80% with respect to the weight of the support; iv) at least one step for ion exchange of the washed zeolite obtained from step ii) or the support obtained from step iii) in a manner such as to eliminate at least a portion of the alkaline cation present in the cationic position in the zeolite; v) a step for depositing at least one metal from group VIII of the periodic classification of the elements onto said exchanged zeolite obtained from step iv) or said exchanged support obtained from step iv) in a manner such that the percentage by weight of said metal is 0.01% to 4% with respect to the weight of the catalyst,