  The recent proposal of Maggiore that the periodicity of a black hole may be
the origin of area quantization law is analyzed in the context of three
dimensional black holes. We use the period of motion of an outgoing wave which
is shown to be related to the vibrational frequency of the perturbed black
hole, to quantize the horizon area of rotating and non-rotating BTZ black
holes. It is shown that the equally spaced area spectrum takes the same form as
the obtained in the literature using the quasinormal mode analysis for both
metrics. Using this method, we do not need to use the small angular momentum
assumption which is necessary in the quasinormal mode approach for the rotating
black hole.
