Abstract: The invention relates to a coupling device for the connection of hoses, a first male connecting element that can be connected to a first hose section and including a male engaging section and a female connecting element that can be releasably coupled with the male connecting element and including a female engaging section. The male engaging section has at least one annular rib with a convex contact surface and the female engaging section has at least one dome section. In the coupled state, the at least one annular rib is engaged from behind by the convex section, in which the dome section, while forming a holding connection, bears against the convex contact surface of the annular rib. As a result of tilting or pivoting of the connecting elements relative to each other the coupled state is releasable by gliding of the convex contact surface from the dome section.