The present invention relates to a Multi-Input Multi-Output (MIMO) communication system and more particularly, to a method for Correlation matrix feedback in a multi-cell wireless communication system. A method for transmitting correlation matrix feedback information of a mobile station considering adaptive feedback mode in a multi-cell wireless communication system according to one embodiment of the present invention comprises measuring a channel between the mobile station and a serving base station using a signal received from the serving base station; determining a first matrix indicating channel state information and a first precoder using the measured channel; generating a second matrix using a Fourier matrix and the first matrix; and transmitting feedback information including at least one of information of the first precoder and diagonal values of the second matrix.