The invention is related to a method for resilient multi-path connections between edge devices of a communication network. First are determined connection-specific traffic distribution functions for the multi-paths depending on a plausible failure pattern of active and inactive paths of the multi-path of this connection. Further is selected the traffic distribution function for a multi-path depending on the current failure pattern of active and an inactive paths of the multi-path of this connection and is distributed the traffic of the connection onto the path of the corresponding multi-path pursuant to the selected traffic distribution function. An essential advantage of the invention is a significant decrease of network capacity for resilient multi-path connections. Another advantage of the invention is the short reaction time in case of an outage of one or more paths of the multi-path connections.