This paper is concerned with a forward method in inversion systems for identifying crack profiles arising in eddy current testing, using the reduced order Proper Orthogonal Decomposition (POD) techniques. First, an optimal 'ordered' basis of parameter-to-output mapping simulation data is created in the sense that the information captured in the first few basis elements is maximized. Then, in the forward algorithm, a fixed number of the first few basis elements, called the reduced POD basis, are used for computing relevant information with the variation of crack parameters. Since only a small number of basis elements are used, it is able to create an optimized forward algorithm in terms of calculation speed and usage of system resource. Numerical experimental results confirm the effectiveness and reliability of this method.