A switching network with crosstalk elimination capability comprises a group of incoming lines connected to subscribers, a group of outgoing lines intersecting the incoming line group, and a plurality of switching elements provided at preselected crosspoints formed between the incoming lines and the outgoing lines. Crosstalk elimination is provided by means for grounding idle and unused incoming lines and/or idle and unused outgoing lines through impedance elements having a sufficiently low impedance value at a desired frequency band of signals to be exchanged.