This talk investigates the relation between the boundary geometric properties and the boundary regularity of the solutions of elliptic equations. In particular, we prove by a new unified method the pointwise boundary Hölder regularity under proper geometric conditions. “Unified” means that our method is applicable for the Laplace equation, linear elliptic equations in divergence and non-divergence form, fully nonlinear elliptic equations, the p-Laplace equations and the fractional Laplace equations etc. In addition, these geometric conditions are quite general. The key observation in the method is that the strong maximum principle implies a decay for the solution, then a scaling argument leads to the Hölder regularity. We also present some other boundary regularity.