A peelable pouch (1) comprises: a first layer (2), a second layer (3), a compartment (4) for housing the product (7), the compartment (4) being formed between the first and second layers (2, 3) by peelably sealing the first and second layers (2, 3) along a compartment sealing portion (40), which extends along the proximal portion (23, 33) and along at least a part of the two lateral portions (20, 21, 30, 31) of the first and second layers (2, 3) as well as along first (24, 34) and second branch portions (25, 35), a first tear promoting means (50) provided on the first layer (2) only, a second tear promoting means (51) provided on the second layer (3) only, and a third tear promoting means (52) provided on both the first and second layers (2,3) and extending in a direction towards the location (26) where the first and second branch portions (24, 34, 25, 35) meet.