In the optical disc apparatus according to the present invention, the CPU 113 is operated to execute a control program stored in the ROM 112 to calculate a reproduction time at the time point when the power supply was turned off based on parameters after reading out from the DRAM 111 the parameters at the time point when the power supply was turned off. The CPU 113 is then operated to execute the control program stored in the ROM 112 to produce a control signal to have a display unit, not shown, display the reproduction time thus calculated, and calculate a reproduction position at the time point when the power supply was turned off based on parameters indicative of the address number and produce a control signal to have the reproduction of the reproduction information such as, for example, audio data and image data resumed.