An apparatus for performing initial synchronization and frame synchronization in a mobile communications system and method thereof are disclosed. First of all, a method and apparatus for performing frame synchronization in a mobile communications system using a correlation value between a received signal and a reference vector for a phase according to one embodiment of the present invention are disclosed. Secondly, a method and apparatus for performing frame synchronization by considering all phase modulation possibility and frequency offsets according to another embodiment of the present invention are disclosed. Thirdly, a method and apparatus for performing initial estimation in a manner of dividing at least one subframe received from a base station by a UE in the course of cell search into at least two areas, calculating a correlation for each of the at least two areas and using a maximum value of the calculated correlation value per area are disclosed.