The paper considers two seemingly different fundamental theoretical concepts of autopoiesis and homeostasis and tries to apply them to the realm of socio-technical systems. The paper uses a so-called Fractal Enterprise Model (FEM) to explain how autopoiesis – a system constantly reproducing itself - and homeostasis – a system constantly maintaining an approximate identity while adapting to changes in its internal and external environment – works, and how they are connected to each other. The work presented in this paper is in its initial stage, and more efforts are required to convert the ideas presented in the paper to something that can be used in practice.