Method and apparatus for controlling a transmit power of a mobile station are disclosed. Mobile stations in direct communication on a cross link (XL) receive control parameters from a base station. A first mobile station (a receiving mobile station) may calculate a correction parameter for power offset for transmissions from a second mobile station (a transmitting mobile station) to the first mobile station, and send it to the second mobile station. The correction parameter may be generated within the maximum and minimum limits. The second mobile station may calculate a transmit power level for a transmission to the first mobile station based on the correction parameter, measurements on resources allocated for cross links for mobile station-to-mobile station direct communications, an interference measurement received from the first mobile station, and a path loss to the first mobile station.