By using a combination of theoretical research methods, documentary research, analysis - synthesis; history - logic; sociological Investigation; interview; ..., the essay explores the general theories of the industrial revolution 4.0, the capacity for innovation and the innovation of the enterprise, the sustainable business and the relationship between the problems this. From this, the article goes into the analysis and relate to the reality of the subject and the content of enterprise innovation capacity in the context of industrial revolution 4.0 to serve the business of sustainable business. Finally, the paper proposes some suggestions to help businesses develop their capacity for innovation and sustainable business in Vietnam.