In this paper the new control algorithm for multi-log/sub 2/N switching networks is proposed. Wide-sense nonblocking conditions are derived and proved when this algorithm is used for connection set up in such kind of switching networks with even number of stages. It is shown, that under this algorithm and even the number of planes required for wide-sense non-blocking operation is the same as for the rearrangeable switching networks. To our knowledge this is the first switching network which achieves the same WSNB conditions as the rearrangeable one.