A data driving apparatus and method for a liquid crystal display wherein a digital to analog converter part is driven on a time-division basis to increase the number of output channels of a data driving IC without excessively increasing a chip area or by reducing a chip area in comparison to the existing chip area, thereby reducing the number of data driving IC's and TCP's. In the apparatus, a multiplexor part performs a time-division of input pixel data to output the time-divided pixel data. A digital to analog converter part converts the pixel data from the multiplexor part into pixel voltage signals. A demultiplexor part selectively supplies the pixel voltage signals from the digital to analog converter part to a plurality of output lines of the demultiplexor part. A sampler and holder part samples and holds the pixel voltage signals from the demultiplexor part to output the sampled and held pixel voltage signals to a plurality of data lines of the liquid crystal display.