Abstract: In this work, we review recent progress on the view of potential energy surfaces and molecular dynamics study of water and its related reactions in the last decade or so. Some important gas-phase reactions of water with radicals, chemisorbed dissociative dynamics of water on solid surfaces, and statistical mechanics and vibrational spectrum simulations of water from clusters to the condensed phase have been introduced. The recently developed machine learning techniques, such as the neural networks in a combination of permutational invariant polynomials or fundamental invariants, the atomic neural networks framework, the gaussian approximation potentials with the smooth overlap of atomic position kernel, as well as the many-body expansion framework for the construction of highly accurate potential energy surfaces, have also been discussed. Finally, some suggestions have been provided for further improvement of the potential energy surfaces and dynamics methods of water-related systems.