A Delay Locked Loop (DLL) having a function of periodically executing a locking operation during a power down mode and a locking operation method of the same, which includes a global clock generator, a clock delay unit, and a power down control unit. The power down control unit, in response to some of a plurality of global clock signals, a phase detection signal, and a power down signal, outputs an input clock signal to each of the global clock generator and the clock delay unit. During the power down mode, the clock delay unit is enabled to periodically carry out the locking operation whenever it receives the input clock signal. Therefore, a consumed power of the DLL can be decreased during the power down mode, and a phase difference between an external clock signal and an internal clock signal during the power down mode can be decreased by the periodical locking operation of the clock delay unit, so that the DLL can operate at a fast speed after the power down mode.