A texture processing method of processing a compressed texel block in which texels constituting a texture are compressed into a predetermined block unit includes obtaining, based on the compressed texel block, a representative value of texels constituting a texel block, a weight for each of the texels constituting the texel block, and an index of the representative value and the weight corresponding to each of the texels constituting the texel block; storing the representative value, the weight, and the index in a texture cache; reading the representative value and the weight from the texture cache according to an index corresponding to a requested texel; generating texels based on the read representative value and the read weight; and performing texture filtering using the generated texels.