A sealing arrangement is for a container (1) and/or container part, such as a closure cap placed onto the container (1). The interior of the container (1) is used to accommodate a medium, particularly a fluid bottled in a sterile manner, which can be removed from the container (1) by a removal device such as a syringe needle. The removal device penetrates sealing material (9) connected to the container. The sealing material (9) is fixedly connected to the outside (7) of the container (1) and/or container parts facing the environment by a fused and/or adhesively bonded connection.