A time-synchronization system according to the present disclosure includes a relay apparatus (10) configured to perform time-synchronization with a master apparatus (30) through a transmission system of which a transmission delay changes depending on a transmission direction, and a relay apparatus (20) configured to perform time-synchronization with the relay apparatus (10), in which the relay apparatus (20) transmits information about a difference between first time information obtained by performing time-synchronization with the relay apparatus (10) and second time information obtained from a time-synchronization source to the relay apparatus (10), and the relay apparatus (10) corrects third time information obtained by performing time-synchronization with the master apparatus (30) by using the information about the difference, and performs time-synchronization with a slave apparatus (50) by using the corrected third time information.