Yang-Mills theories are a very fruitful concept in quantum field theory. Fundamental interactions and its unifications can be described with Yang-Mills theory. However, gravity is still not modeled in the framework of Yang-Mills theory. It is modeled in terms of the Einstein-Hilbert action in the case of semiclassical field theory, but ordinary quantization of the spacetime field fails due to UV divergences. A possible approach to quantum gravity called E-gravity theory avoids UV-divergences. Primary, this theory is based on a spacetime discretization and the assignment of a curvature measure to discretized spacetime. This paper shows that this approach is also a special case of Yang-Mills theory.