A stand-up bag of a heat-sealable plastic film comprising two opposing side walls (1, 2) sealed together along the lateral edges thereof by means of side seams (5, 6), an inwardly folded bottom wall (4) provided between the lower portions of the side walls (1, 2) and sealed to the respective side walls (1, 2) along transverse bottom seams (7) and along bottom side seams, and an inwardly folded top wall (3) extending between the side walls and connected to the respective side walls (1, 2) along transverse top connections (11, 12) and sealed to the respective side walls (1, 2) along top side seams. One of the side walls (1) comprises a first side wall section (1a) and a second side wall section (1b) which overlaps the first side wall section (1a) in an overlapping area (15). In the overlapping area (15) the two side wall sections (1a, 1b) are connected by means of longitudinal peelable connections (19, 20) along the side seams (5, 6) and by means of a transverse peelable connection (18). The second side wall section (1b) extends a distance past the transverse peelable connection (18) to form a gripping member (21).