The present invention relates to an apparatus for estimating and compensating a carrier frequency offset, and a data receiving method in a receiver of a wireless communication system. The apparatus correlates a received signal with a signal delayed by a predetermined period of the received signal in a correlation window, wherein the correlation window is set based on a Cycle Prefix (CP) and a preamble repetition length from a predetermined position, converts the correlated value into a phase value, compensates a phase of the converted result according to preamble segment numbers, and estimates an initial carrier frequency offset value.