The Sixth Gun co-creator will take over from Jason Aaron from issue #305.
Aaron has been writing the character's solo series since an initial four-issue run in 2007 and will continue with Wolverine and the X-Men.
Bunn has been working on various Marvel Comics titles under his exclusive contract, including Fear Itself: The Fearless and the forthcoming Captain America and Hawkeye.
Marvel's April solicitations reveal that Wolverine will go up against his nemesis Sabretooth in Wolverine #304.
Artist Paul Pelletier will collaborate with Bunn on Wolverine #305.