Some far-right groups have adopted a violent form of accelerationism to promote terrorism and other violent acts in order to hasten the downfall of a societal order they believe is complicit in white genocide.

Accelerationism is historically linked to Marxism and the belief that accelerating detrimental forces within capitalism will ultimately lead to its destruction. The accelerationism of the far right is inherently violent. White nationalist groups such as The Base believe that the current societal order is inherently corrupt and therefore unsustainable. The Base calls on its followers to execute non-attributable terror attacks to destabilize society in order to hasten a race war that will overthrow the government and reshape society. These groups often blame societal degradation on factors such as widespread immigration and multiculturalism. They seek to accelerate the collapse of the current corrupt system by promoting discord and chaos, primarily through violence, in order to create a new utopian society. For example, Brenton Tarrant—who killed 51 people in attacks on two mosques in Christchurch, New Zealand, on March 15, 2019—subscribed to accelerationism. He included in his manifesto a section on accelerating the destabilization of the societal order "as only in times of radical change and social discomfort can great and terrific change occur." According to Tarrant, this radical change required radicalizing public discourse "by both "supporting, attacking, vilifying, radicalizing and exaggerating all societal conflicts and attacking or even assassinating weak or less radical leaders/influencers on either side of social conflicts."