An electro-optical hybrid connection assembly provides an optical connection of at least a first optical fiber and a second optical fiber that define a fiber axis and an electrical connection of at least a first electrical conductor and a second electrical conductor. The assembly includes a first connector and a second connector. The first connector includes a first ferrule that encloses the first optical fiber, a centering sleeve surrounding the first ferrule and projecting beyond at least one end of the first ferrule, and at least one electrical plug-in contact connected to the first electrical conductor. The second connector includes a second ferrule enclosing the second optical fiber, and at least one electrical plug-in contact connected to the second electrical conductor. Each of the two optical fibers has a plane fiber end aligned at right angles to the fiber axis and provided with an anti-reflection coating.