A method for data reception of a random access procedure for a network of a wireless communication system is disclosed. The method comprises receiving a preamble and data of the random access procedure in one message, from a user equipment (UE) of the wireless communication system, obtaining timing advance information according to the received preamble, and performing channel estimation according to a DMRS allocated for demodulation of the received data with a timing advance compensation, wherein the timing advance compensation is an operation of a linear phase rotation in a frequency domain based on the timing advance information.