We review the topic of asymptotic symmetries in the Abelian gauge theories. The asymptotic symmetry group is derived in both spatial and null infinity. The analysis of the asymptotic symmetries at spatial infinity is done in the Hamiltonian approach, while the analysis at null infinity is done in the gauge fixing approach. We also work out the connection between results obtained at the spatial and null infinity and show how the gauge parameters used in spatial infinity combine to form the asymptotic symmetries of null infinity. Moreover, Ward identity is shown to correspond to the leading order of the soft photon theorem. These results shed new light on the problem of infrared divergences of QED, so we also review this problem and show how to appropriately dress charged particle states in order to remove the IR divergences. The last part of the thesis is dedicated to the memory effects. We derive two types of memories, that is kick and displacement memories. We also show the connections among asymptotic symmetries, soft theorems and memory effects.