An information-recording method and an information-recording medium which make it possible to improve overwrite characteristics in the high speed recording, especially archival overwrite characteristics for overwriting information after retaining the medium in a high temperature environment for a certain period of time, and an information-recording apparatus based on the use of the same are provided. The information-recording method comprises overwriting a random pattern with light beams having a predetermined recording power and a variety of erasing powers; reproducing the random pattern to determine a minimum value Pb1 and a maximum value Pb2 of the erasing power obtained when the pattern, in which a reproduction jitter exceeds a predetermined threshold value, is erased; determining an optimum erasing power Pb from the minimum value Pb1, the maximum value Pb2, and a relational expression represented by Pb=.alpha..times.Pb1+(1-.alpha.).times.Pb2; and recording the information with the determined optimum erasing power Pb. The value of .alpha. is previously recorded on the information-recording medium. The information-recording apparatus has a Pb-calculating control unit which reads the value of .alpha. when the optimum erasing power Pb is determined.