In an apparatus for reproducing a digital signal wherein a signal is read by a plurality of reproducing rotary heads which trace a track with an interval narrower than the interval of tracks formed on a tape, a wrap angle with which a tape is wrapped around the periphery of a rotary drum to which the rotary heads are attached is selected to be less than 360.degree./n with respect to the number n (n is an integer) of rotary heads, the rotary heads are rotated at a speed twice the normal rotational speed of the heads, the demodulated digital signal is stored in a memory corresponding to a frame address and a block address detected from the reproduced digital signal, and then the digital signal stored in the memory is read out therefrom in a predetermined order, whereby an apparatus for correcting the tracking of the tape by the rotary heads can be eliminated.