A method for controlling a thick matter pump comprising two delivery cylinders (10) emerging, via two openings (12), into a material reservoir (14), associated with two delivery pistons (26), symmetrically synchronized relative to said cylinders, and a branch pipe 18 arranged inside the material reservoir (14), capable of being connected, on the input side, alternatively to one of the openings of the delivery cylinders with exposing of the other opening, the output side connected to a conveyance conduit (20). When the pumping is interrupted, thick matter, liquid concrete for example, is sucked up, via the delivery cylinder temporarily communicating with the reservoir, and is delivered, via the other cylinder (10), connected to the branch pipe (18), so as to form a column of thick matter through the delivery pipe (20), towards its output. In order to avoid problems of deposit, condensation and solidification, the invention is characterized in that the thick matter column is maintained, at least temporarily, in movement, when pumping is interrupted, in the delivery pipe (20) and/or the branch pipe (18) and/or the delivery cylinders (10), while not allowing the thick matter to escape from said delivery pipe (20) on the output side. The invention is further characterized in that, when the pumping is stopped, the thick matter in the matter reservoir is maintained in movement by the back and forth oscillation of the feeding pipe (18) and/or at least one stirrer (34).