Provided are a texture compressing method and a texture compressing apparatus, which compress some color information of a texture block, which is unable to realize all colors included in the texture block by a determined compression bit number, to be stored in a compression data bit of a texture block, which is able to realize all colors included in the texture block by a bit number lower than the determined compression bit number, based on a color distribution of each texture block, and a texture decompressing method and a texture decompressing apparatus corresponding to the texture compressing method and the texture compressing apparatus.