  Topological feature has become an intensively studied subject in many fields
of physics. As a witness of topological phase, the edge states are
topologically protected and may be helpful in quantum information processing.
In this paper, we define a measure to quantify the dynamical localization of
system and simulate the localization in the 1D Aubry-Andr\'{e} model. We find
an interesting connection between the edge states and the dynamical
localization of the system, this connection may be used as a signature of edge
state and topological phase.
