A digital signal recording/reproducing apparatus for enabling recording/reproduction at variable speeds including normal speed, and at least one of N-times normal speed and 1/N-times normal speed while maintaining the reproducing frequency constant so as to not require switching of analog circuits. At the time of reproduction at normal speed, N-times normal speed or 1/N-times normal speed, the feed speed of the magnetic tape and the timing of picking up of a reproducing signal from the magnetic tape are varied while the speed of revolution of a cylinder of a rotary head is maintained constant so that the timing of detection of pilot signals for generating a tracking error signal is varied to cope with difference in track scanning conditions in recording and reproducing modes.