A method and apparatus are provided for transmitting an uplink Sounding Reference Signal (SRS) by a User Equipment (UE). The method includes receiving information related to an SRS period and an offset for an SRS transmission; generating the uplink SRS; and when the information indicates the SRS period is 2 ms, transmitting the SRS in two Single Carrier Frequency Division Multiple Access (SCFDMA) symbols in a half frame according to the offset for the SRS transmission. When the information indicates the SRS period is 2 ms and a length of an Uplink Pilot Time Slot (UpPTS) in the half frame is two symbols, a first symbol in the UpPTS is indicated by offset 0 and a second symbol in the UpPTS is indicated by offset 1.