Abstract: The mechanism (8) makes it possible to orient and dispense parts (29) that have an offset center of gravity with respect to the middle of their length (L). A first endless chain (9), extending in a vertical or oblique plane, with a horizontal upper strand, bears cups (11) distributed at regular spacing (P) and each cup having a receptacle (12) suitable for receiving one part (29). A second endless chain (10), extending in a plane perpendicular to that of the preceding chain, bears moving guides (21, 22, 23) distributed with the same spacing as the cups. The two chains (9, 10) are driven synchronously by a motor (15), the moving guides (21, 22, 23) passing above the cups (11) of the upper strand of the first endless chain (9), in correspondence with the intervals between the receptacles (12) of these cups. Means (25) to feed the parts (29) onto the mechanism (8). Application: mascara brushes, spray pumps, bottles, stoppers, etc., particularly in the cosmetics industry.