Answer in Details
Lord Shiva, as the Supreme Being (Mahadeva), is beyond the cycle of reincarnation. He is eternal, without birth or death. However, Shiva is known to take various forms or manifestations (avatars) to fulfill specific purposes, such as Bhairava, Nataraja, Ardhanarishvara, and others. These are not reincarnations in the sense of being bound by karma, but conscious manifestations for the benefit of the world.
For devotees, following the path of Shiva—through devotion, meditation, and righteous living—can lead to liberation from the cycle of reincarnation.