National security is one of the most critical elements for Vietnam society, economy and political system, their stability, sustainability and prosperity. It is unconditionally the top priority for Vietnamese government, State, Communist Party and military forces. In the contemporary world with advanced technology and rapid globalization process taking place, beside many extant economic, social and political benefits there are many appearing challenges and threats that could endanger and destabilize the current socio-economic and political system of any country, including Vietnam. The security issues and concerns understood by those challenges and threats are posed for the international and national community, both from outside and from within. The national security issues and concerns should be constantly screened and updated as the world is evolving at unprecedented pace, with particular exposure to the rising, but not yet fully identified, unconventional challenges and threats that have never seen before. The article is using empirical analysis and case study as methodology for carrying out research, treating security and military science as interdisciplinary, but two of the branches of social science. The aim of this article is to focus on internal instability as challenging security issue that could pose a real threat and danger to the current socio-economic and political system and based on that to draw some implications and propose some viable solutions for the Vietnamese authority to guard the safety and security of the people, society and also its political existence.