A speech signal coding system including a speech signal encoder for dividing received speech signals into a plurality of frames each having a predetermined time interval and for converting the speech signals into digital speech parameters. The system includes a multiplexer for multiplexing the output digital data from the speech signal encoder into a predetermined frame format; a control frame generator for generating, in response to an inputted facsimile signal, a control frame having speech data frame configuration for identifying a facsimile signal identification data indicating the input signal as the facsimile signal. A facsimile signal demodulator converts the facsimile signal into digital data and a bit-synchronous multiplexer multiplexes the digital data. An output device outputs the speech data frame of the multiplexer to a digital transmission line and further outputs, when a facsimile signal is input, the control frame and facsimile data multiplexed as the bit synchronous data onto the digital transmission line.