Each of the two groups received five nominations in Britain’s equivalent of the Grammy Awards. The nominations were in categories including Best Song, Best CD and Best Group of the Planet.
Other American artists also received nominations, including the Foo Fighters and My Chemical Romance.
In the category for Best British group, Feeder, Stereophonics, Funeral for a Friend, Placebo and Cradle of Filth have all been nominated.
The ceremony will be presented live from London on August 25, and will be hosted by Juliette Lewis.
Last year’s big winner of the night was The Darkness.