The present disclosure discloses a common voltage compensation circuit, a compensating method thereof, an array substrate and a display apparatus, when a difference between the common voltage on the common electrode line and a reference voltage is great, the comparison module outputs a zero voltage signal to an inversion module, the common voltage on the common electrode line is compensated by the common voltage compensation circuit; when the difference between the common voltage on the common electrode line and the reference voltage is small, the comparison module outputs a first level signal to the inversion module, the common voltage on the common electrode line is not compensated by the common voltage compensation circuit, The common voltage on the common electrode line can be stabilized, thus a problem of abnormities occurred in a display picture of the display panel could be avoided.