Instead, Karzai wants his successor to decide after the April 5 elections.
He also has indicated that he will not sign any agreement that allows for continued airstrikes and foreign raids on Afghan homes.
Civilian deaths at the hands of U.S. and allied soldiers have been a key source of contention, exacerbated last week by a U.S. drone strike that killed a child.
U.S. and NATO officials stressed at a meeting in Brussels this week that a decision is needed soon on the Bilateral Security Agreement that will allow a continuing training mission in Afghanistan after 2014, when their current mandate expires and all foreign forces must depart.
Military planners need the time to prepare for a post-2014 mission that could involve around 8,000 American and 6,000 allied troops.
Also at stake is more than $8 billion in annual international military and development aid planned for Afghanistan after 2014.
