A mobile station apparatus for transmitting feedback information in a wireless communication system and method thereof are disclosed. According to the present invention, feedback information is transmitted by a mobile station in a wireless communication system. The present invention includes receiving an allocation of a specific frequency partition from a base station by a fractional frequency reuse (FFR), generating a prescribed type feedback information on the specific frequency partition by measuring a channel quality of the specific frequency partition, and transmitting the feedback information on the specific frequency partition to the base station. Preferably, the mobile station can transmit feedback information on a frequency partition unallocated by the base station based on the received feedback request information. Accordingly, feedback overhead can be decreased in feedback transmission.