A time display apparatus includes a display section that displays the time, a first receiver that receives a wireless signal containing information on the time zone corresponding to a destination from a transmitter provided in a moving object, a second receiver that receives a satellite signal from a positioning satellite to perform positioning and calculates position information, and a processor that is capable of selectively executing a first process of setting time to be displayed on the display section based on the time zone information and a second process of setting the time to be displayed on the display section based on the position information and does not execute the second process for the period until the processor determines that a predetermined condition is satisfied in a case where the first receiver has received the wireless signal.