Abstract: Bags, especially shopping bags, of a thermoplastic synthetic resin sheeting, are made to be free-standing. In the process for the production of the bags, the bags are provided in pairs. Each bag is provided with a handle hole and designed as a standing bag having an approximately sinusoidal load-bearing rim, with lateral cutoff weld seams and with a bottom pleat, with corner weld seams provided separately in the two pleat sections of the bottom pleat and extending from the bag sides obliquely toward the bag bottom, and with a flat bottom formed by the corner weld seams.