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A switching network for selectively connecting at least one input time-division channel on an input link (IL) to at least one output time-division channel on an output link (OL). The network is organized around a closed-loop link (10) on which circulates a multiplex message carrying 512 time-division exchange channels. The input and output links (LE and LS) are respectively multiplexed onto an input multiplex link (IML) and an output multiplex link (OML) which are coupled to the closed loop (10) by a switching module (SM). Each switching module comprises an input buffer (IB), an output buffer (OB) and a local buffer (LB) the addressing of which is selectively controlled by a time slot counter (CRT) or a corresponding pointer memory. So-called "broadcast" connections coupling one input channel to several output channels, and "in-cast" connections coupling several input channels to one output channel, can be established. Each of these connections uses only one exchange channel.