The invention relates to a method for conveying in translation, in a transport zone, glass containers (2) held in a suspended position between two slide rails on which slides a counter-ring (7) arranged on each container which has a ring surface (8) defining the opening of the container, the method consisting of ensuring the movement in translation of the containers (2) by a bearing surface (18a) of at least one belt (18) driven in translation and exerting mechanical pressure on each ring surface (8) of the containers (2) to create a bond by adherence between each ring surface (8) of the containers and the bearing surface (18a) of the belt.