There have been several instances where Wolverine's death has been implied or even staged in various storylines, but he always manages to come back to life.
* The "Death of Wolverine" storyline: This was a major event in 2014, where Wolverine was seemingly killed by a special weapon that destroyed his healing factor. However, he later returned to life in a new body with a new healing factor.
* "The Wolverine" (2013) film: This film depicted Wolverine's death, but it was not canon in the comics.
* Other instances: Wolverine has also been "killed" in other storylines, often through temporary means such as being temporarily "depowered" or through the use of supernatural forces.
So while Wolverine's demise has been a recurring theme in his stories, he has consistently survived and continued his adventures.