The present provides an arc detection apparatus that includes: a current sensor configured to sense the first current that flows through the first line of a system in which the influence of noise according to the operation is detected in the first frequency band; a frequency data creator configured to digitally process sensed values of the first current in the first time period and the second time period, respectively, in order to thereby create the first frequency data and the second frequency data for the first frequency band; and an arc determination unit configured to determine the possibility of the generation of an arc of the system according to comparison data between the first frequency data and the second frequency data.