For alternate circuiting between the two fibers of a double light waveguide connection proceeding between two nodes, the optical signal is split at the transmission side onto the two fibers. The two fibers are combined at the node of the reception side by an optical switch over device via which the working fiber is connected to the node of the receive side during a normal operating mode and which, in an alternate circuit mode, the redundant fiber is automatically connected to the node of the receive side instead of the working fiber. Two optical switches are inserted at the transmission side between the splitter and the two fibers, both of these optical switches being closed in normal operating mode. Only the optical switch inserted between the redundant fiber and the splitter remains closed in the alternate circuit mode, by contrast whereto the optical switch inserted between the splitter and the working fiber is opened.