The Taliban will release a statement today saying that they oppose the use of Afghan soil to threaten other countries and support peace, US officials told Reuters.
The US has welcomed the statement and sees it as an "important first step towards reconciliation".
Official peace talks on Afghanistan between the United States and the Taliban were delayed today, amid a row about an office.
American negotiators will sit down with black turbaned men from the Taliban, at least one of whom speaks impeccable English.
Afghan president Hamid Karzai says his government will not take part in any peace talks involving the Taliban - at least for now.