Seat-assembly movement system, for collecting up and deploying rows of seats (1) at the installation site, by means of sliding on guides (2) arranged in the floor, the movement of the rows of seats (1) being managed by means of a control system comprising a master PLC or a computer unit, for governing the installation, in combination with respective slave PLCs arranged on the carriages (3) carrying the rows of seats and in connection with devices for controlling the position of said carriages (3) on the mounting guides (2).