This paper presents a general structure of meet-in-the-middle attack by combing the advantages of Biclique and three sub-set meet-in- the-middle. Compared with the Biclique cryptanalysis proposed in Asiacrypt 2011, this attack model is more reasonable to be regarded as the security of one block cipher against meet-in-the-middle attack. Moreover, the study evaluates the security of TWINE against meet-in-the- middle attack and gives attacks on 18-round TWINE-80 and 22-round TWINE-128. Meanwhile, the data complexities of these attacks are the least among the precious attacks on TWINE.