A delay analysis device includes an acquisition section that acquires circuit information relating to a path through which signal propagation can be delayed, a determination section that sets up an assumed fault for each of pins disposed in the path, and determines whether a signal change output from a beginning latch can be propagated to an ending latch for each of pins for which the assumed faults are set up, and an analysis section that calculates a delay distribution by accumulating delay distributions expressed by probability density functions of delays that occur in individual delay elements included in the path determined that a signal change output from the beginning latch can be propagated to the ending latch, and by not accumulating the delay distributions at a pin through which it has been determined that the signal change cannot be propagated to the ending latch based on the acquired circuit information.