This paper presents a new transformation function,namely T-F function,for finding better minimizers and global minimizer in discrete global optimization problems.We prove that under some general assumptions the new T-F function posses the properties of both the tunnelling functions and the filled functions.Moreover,the new T-F function contains only one parameter and can be adjusted easily in the realization of the proposed algorithm.Numerical tests from some test functions show that our new T-F function is very effective in finding better minima and global minima.