An apparatus and method of driving data of a liquid crystal display device is disclosed, which can minimize an electromagnetic interference EMI noise by decreasing an output peak current of a data driver, the apparatus comprising a timing controller for supplying a reference source output enable signal; a delay circuit for delaying the reference source output enable signal and supplying a plurality of source output enable signals provided with the different delay times; and a data driver, including a plurality of data ICs to divide and drive data lines of a liquid crystal panel into a plurality of data blocks, for dispersing data output timing of the plurality of data ICs in response to the plurality of source output enable signals.