A video encoding apparatus comprises an encoder encoding input video; a decoder decoding video data, and a filter to compensate for a pixel value of the encoded video data. An adaptive loop filter (ALF) parameter predictor generates an ALF filter parameter using the decoded video data. The ALF filter parameter is applied to an ALF filter to compensate a current pixel by using a pixel adjacent to the current pixel and a filter coefficient with respect to the neighboring pixel; a sample adaptive offset (SAO) filter unit applied to the decoded video data compensates for a current pixel by using at least one of an edge offset and a band offset; an ALF filter unit applies the ALF filter parameter, the ALF filter to video data to which the SAO filter has been applied; and an entropy encoder performs entropy encoding on the ALF filter parameter.