A method for the production of components made of ceramic-matrix composite material, in the fields of aerospace engines and turbines and turbine systems and plants; according to the method, a preform of ceramic fibres is shaped and set in a draining mould, for example made of plaster; the fibres of the preform are impregnated with a suspension of ceramic powders, the liquid of which is drained by capillarity from the draining mould; simultaneously to draining, a suspension of ceramic powders is infiltrated between the fibres of the preform so as to fill the empty space left by the drained liquid; at the end of the steps of draining/infiltration a body is obtained with a solidified or compacted porous matrix, which is removed from the draining mould and is sintered.