A code is said two-wight if the non-zero codewords have only two different weights w1 and w2. In this paper, it is generalized that a consta-cyclic code of composite length can be put in the quasi-twisted (QT) form. Based on this result, a new computer method of QT two-weight codes is presented. A large amount of QT two-weight codes are found, and several new codes are also constructed.