A \(*\)-measure and a \(*\)-path integral for the 2-dimensional Dirac equation are constructed in terms of nonstandard analysis. Then a \(*\)-measure for the Schrödinger equation is obtained as a nonrelativistic limit of \(*\)-measure for the Dirac equation. The path integral for Schrödinger equation is explained in an appropriate way. We refer to the author’s paper in [T. Nakamura, J. Math. Phys. 32, 457-463 (1991; Zbl 0733.58006)] for this theory. All details will be published in another paper [see J. Math. Phys. 41, 5209-5222 (2000; Zbl 1046.81073)].