A rotary conveyor (1) utilized in equipment (1a) for filling containers (2) with liquid or powder products includes a supporting shaft (8) aligned on a longitudinal axis (X) and coupled to relative drive components (10) associated with the shaft (8), by which the shaft is set in rotation about the axis (X). A support element (11) is keyed to the shaft (8), presenting a peripheral rim (12) with a plurality of slots (13) each designed to accommodate a container (2) transferred from a transport and/or processing device (3) forming part of the equipment (1a). The slots (13) incorporate restraining components (14) having grippers (15) movable between a position of engagement, in which the containers (2) are locked to the support element (11), and a position of disengagement in which no restraining force is applied to the containers (2).