In this talk I will try to prove De Giorgi’s Theorem on the regularity of minimal Caccioppoli Sets(Theorem 8.4). He used a measure theoretic method closely related to properties of function of bounded variation, which is technical and powerful. I will focus on Chapter 5-8 in E. Giusti’s book. It is based on M. Miranda’s simplification of De Giorgi’s original proof. This will be a continuation of the talk given on September 9th.