A non-reclosable package for products which are prejudicial to health, such as pharmaceutical products. The package comprises a first packaging material element and a second packaging material element. The two packaging material elements are arranged on top of each other. The package has at least one first surface section, at the margin or margins of which the two packaging material elements are releasably connected with each other. At least one cavity, which is enclosed on all sides and receives the product to be packaged, is formed between the two packaging material elements. The package has at least one second surface section lying outside or adjoining the first surface section, and at the margin or margins of which the two packaging material elements are releasably connected with each other. At least one of the two packaging material elements has at least one structure extending within the second surface section and enables the packaging material element(s) to be torn.