A texture processor includes: a texture cache configured to store textures; a controller configured to determine a texture address corresponding to a requested texture among the stored textures and read a texture corresponding to the texture address from the texture cache; a format converter configured to convert a format of the read texture into another format, based on a degree of texture precision required by a graphics processing unit (GPU); and a texture filter configured to perform texture filtering using the read texture having its format converted into the another format.