Provided are an apparatus and method for estimating and correcting a frequency offset in a multiband-Orthogonal Frequency Division Multiplexing Ultra-Wideband system using a time frequency hopping. The method includes the steps of: calculating a tangent input having a first value (X) and a second value (Y) by using PS symbols transferred over same frequency band with respect to one of a plurality of frequency bands used for frequency hopping; calculating tan(X/Y) using the first value (X) and the second value (Y), and calculating an index corresponding to the value of tan(X/Y) from a look-up table created by reflecting a relative frequency offset with respect to a center frequency; calculating indexes representing frequency offsets estimated with respect to remaining frequency bands used for frequency hopping from the look-up table by using the calculated index; extracting an index of a numerical controlled oscillator according to correction positions with respect to a plurality of frequency bands by using the calculated indexes; and correcting the frequency offsets estimated using the extracted indexes according to time frequency patterns by using a numerical controlled oscillator table.