The singer's former group, now led by Mike Love, is billed to perform at the Safari Club International Convention in Reno, Nevada on Wednesday, and Wilson is keen to put a halt to the gig, revealing he and fellow former The Beach Boys bandmate Al Jardine are "emphatically opposed to hunting."
"There's nothing we can do personally to stop the show, so please join us in signing the petition," Brian has tweeted, sharing a link to the Change.org campaign to axe the show.
The Safari Club International Convention will include a keynote speech by Donald Trump and feature "870 companies... selling trophy hunting holidays and wildlife body parts, including animal heads."
The man behind the petition has also urged The Beach Boys manager Elliott Lott to consider the costs of band boycotts if Love and his group ignore the petition and perform.
Eduardo Goncalves, who has already amassed more than 60,000 signatures - 15,000 short of his goal, also feels Love and his bandmates should "publicly state their opposition to this sick 'sport' of killing animals for 'fun'."