In this talk we investigate asymptotic properties of the eigenvalues from two n by n random matrices as n goes to infinity. The first one is the product of m i.i.d. (complex) Ginibre ensembles, and the second one is that of truncations of m independent Haarunitary matrices which may have different sizes. For the product of Ginibre ensembles, limiting distributions of the spectral radii are obtained when the limit of m/n exists, and explicit empirical distributions of the eigenvalues are obtained regardless of the speed of m compared to n. For the product of truncations of Haar unitary matrices, limits of the empirical distributions are quite rich, depending on m and sizes of Haarunitary matrices. The main techniques we employ are the independence structure of points following a determinantal point process and some estimations of moments for the sum of functions of the eigenvalues.