Disclosed is a cap for a container and a container comprising such cap. This container typically accommodates loosely stored, solid products, such as strips, pills, tablets or the like. The cap includes a lid body with a top part and a peripheral wall, wherein the lid body includes a sealing skirt and an inner peripheral wall, which extend from the top part, and form a peripheral groove in between. At least one projection portion for partially covering the peripheral groove is integrally formed with the sealing skirt and the inner peripheral wall.