An apparatus and a method capable of receiving digital broadcasting without image discontinuity during channel switching. A digital multimedia broadcasting receiver buffers a previous channel while a new channel is buffered in a deinterleaver, thereby preventing image discontinuity during channel switching. The digital broadcasting receiver receives and deinterleaves broadcast data of a channel to be changed and stores the deinterleaved broadcast data in a buffer when a broadcast channel change is requested. The digital broadcasting receiver outputs and displays broadcast data of an initial channel stored in the buffer and stops output of the broadcast data of the initial channel and outputs the broadcast data of the channel to be changed, when the broadcast data of the channel to be changed are stored in the buffer by a predetermined buffering size.