  We initiate the study of the information paradox of rotating Kerr black holes
by employing the recently proposed island rule. It is known that the scalar
field theory near the Kerr black hole horizon can be reduced to the
2-dimensional effective theory. Working within the framework of the
2-dimensional effective theory and assuming the small angular momentum limit,
we demonstrate that the entanglement entropy of Hawking radiation from the
non-extremal Kerr black hole follows the Page curve and saturates the
Bekenstein-Hawking entropy at late times. In addition, we also discuss the
effect of the black hole rotation on the Page time and scrambling time. For the
extreme Kerr black hole, the entanglement entropy at late times also
approximates the Bekenstein-Hawking entropy of the extreme Kerr black hole.
These results imply that entanglement islands can provide a semi-classical
resolution of the information paradox for rotating Kerr black holes.
