A container for storing and/or applying a substance is provided. The container includes a glass body having a substantially hollow cylindrical shape and enclosing a cavity, as well as a distal end with a first opening and a proximal end with a second opening. One or more connecting elements are attached to the glass body at the distal end and are made of a plastic material. The plastic material is a thermoplastic or thermosetting plastic material and the glass body and the or each connecting element are connected to each other by use of a joint. The connecting element arranged at the distal end includes a passage channel communicating with the first opening. The first and second openings are enclosed by end faces and immediately adjacent surfaces of the glass body and the connecting element(s) is/are attached to the glass body via the end faces and the immediately adjacent surfaces.