A process for the synthesis of a zeolite from a synthesis medium containing a source of trivalent aluminum, a source of tetravalent silicon, at least one alkali or alkaline-earth metal cation in hydroxide form and water, comprising maintaining said synthesis medium at a maturing temperature or crystallizing temperature in a reactor containing a solid helical rotor in a guide tube defining a space which is internal and a space which is external to the said tube, wherein said synthesis medium is circulated in the reactor as a continuous flow moving through the space which is internal and then the space which is external to said tube and returning to the internal space, solely by the rotation of the solid helical rotor, at a speed lower than 500 rev/min, in said guide tube held stationary.