  One parameter quantization ambiguity is existed in Loop quantum gravity which
is called the Immirzi parameter. In this paper, we fix this free paremater by
considering the quasinormal mode spectrum of black holes in four and higher
spacetime dimensions. As a consequence, our result consistents with
Bekenstein-Hawking entropy of a black hole. Moreover, we also give a possible
quantum gravity explanation of the universal $\ln(3)$ behavior of the
quasinormal mode spectrum.
