An apparatus and method for encoding and decoding image data. The image data encoding apparatus includes: a transformer transforming pixel values of an image in a time domain into pixel values in a frequency domain; a quantization coefficient determiner determining a quantization coefficient proportional to a number of bits per pixel of the image; a quantization unit quantizing the pixel values transformed by the transformer based on the quantization coefficient determined by the quantization coefficient determiner; and an entropy encoder generating a bitstream of the quantized pixel values.