Banton was due to perform in Chicago, Las Vegas, Dallas and Houston.
However, promoter Live Nation has said they are cancelled and ticket holders will be offered refunds.
A campaign was organised via website change.org and more than 650 people complained to Live Nation, who own the House of Blues venues where Banton was scheduled to perform next week.
Banton's notorious 1990s hit Boom Bye Bye appears to incite the burning, shooting in the head and pouring acid over the faces of gay people.
In October 2006 two of his concerts in the US were cancelled after pressure from gay activists.
In July 2007 he signed up to the Reggae Compassionate Act, promising not to perform songs that advocate homophobia, in a deal brokered by Stop Murder Music activists.
He later denied that he had made any such commitment.
The Stop Murder Music campaign spearheaded by UK gay activist group OutRage! has brought about the cancellation of hundreds of concerts and sponsorship deals.