An apparatus for reproducing digital signals on a multi-track recording medium, wherein a signal to be written in a memory is selected from among signals of each track demodulator a demodulation means (50) by a writing track selection circuit (200), the signal of the writing track selected by the track selection circuit (200) is stored in a memory (102), the timing of writing the signal of the selected track is determined by a write timing setup circuit (300), and the timing of reading is determined by a read setup circuit (400) so that the signal stored in the memory (102) is read out during two write timing periods set by the write timing setup circuit (300), and the memory (102) is directed for writing or reading selectively by a read/write selector (100) in accordance with the output signals from the write timing setup circuit (300) and read setup circuit (400), so that writing or reading takes place at an interval of 1/2ANfc.