Provided are a method and apparatus for encoding and decoding a video. A method of decoding a video according to an embodiment includes: determining an intra-prediction method of at least one neighboring block adjacent to a current block that uses an intra-skip mode; determining priority levels of candidate intra-prediction methods of the intra-skip mode for the current block according to the intra-prediction method of the at least one neighboring block and aligning the candidate intra-prediction methods according to the priority levels; obtaining, from a bitstream, index information indicating one of the candidate intra-prediction methods; determining a candidate intra-prediction method indicated by the obtained index information from among the aligned candidate intra-prediction methods as an intra-prediction method of the current block; and decoding the current block by using the determined intra-prediction method.