The International Conference of Applications of Mathematics to Non-linear Sciences (AMNS-2016) was successfully held in Kathmandu, Nepal from May 26 to 29 of 2016. In addition, a Mathematical Biology Workshop was organized on the first day of the conference. The conference drew more than 200 participants from 17 countries around the world. Among these participants, 87 of them also attended the Mathematical Biology Workshop. Five major themes of the AMNS-2016 conference were “Differential Equations and Nonlinear Analysis”, “Probability, Statistics, and Big Data”, “Mathematical Biology”, “Algebra, Topology, and Mathematical Education”, and “Numerical Analysis, Scientific computation, and Optimization”. Along with the Principal Speakers Dr. Dongho Chae (Korea), Gerhard Pfister (Germany), Ratnasingham Shivaji (USA), Lindi M. Wahl (Canada), and Jiahong Wu (USA), the total of 104 talks and 22 posters were presented during the conference. The detailed abstract and the other conference information are found in the conference website.