It was the most blunt assertion yet by an American official in the last few weeks that U.S. forces should not be involved in the fight. The Bush administration has said repeatedly that the border crisis should be resolved through diplomacy.
Asked what the U.S. military was planning to do, Maj. Gen. Benjamin Mixon said: "Absolutely nothing."
Turkey's top military commander said Friday that Ankara will wait until its prime minister visits Washington before deciding on a cross-border offensive into northern Iraq.
Prime Minister Recep Tayyip Erdogan meets President Bush in Washington on Nov. 5.
"The armed forces will carry out a cross-border offensive when assigned," private NTV television quoted Gen. Yasar Buyukanit as saying. "Prime Minister Erdogan's visit to the United States is very important, we will wait for his return."
Turkey's Deputy Prime Minister Cemil Cicek said the government demanded the extradition of Kurdish rebel leaders based in Iraq's north. Amid talks with a visiting Iraqi delegation, Turkish war planes and helicopters reportedly bombed separatist hideouts within the country's borders.
During a Friday briefing, Mixon said the rebel activity is not his responsibility, that he's sent no additional U.S. troops to the border area and he's not tracking hiding places or logistics activities of rebels from the Kurdistan Workers' Party, known by its Kurdish acronym PKK.
He also has not seen Kurdish Iraqi authorities move against the rebels either, Mixon told Pentagon reporters by videoconference from a U.S. base near Tikrit in northern Iraq.
"I have not seen any overt action ... But those are the types of activities that are managed and coordinated at higher levels than my own," he said.
Top Defense Department and State Department officials this week said that Iraq's Kurdish regional government should cut rebel supplies and disrupt rebel movement over the border, adding that Washington is increasingly frustrated by Kurdish inaction.
As Turkey has increased pressure for someone to act, Pentagon officials have said repeatedly that U.S. forces are tied up with the fight against insurgents and al-Qaida elsewhere in Iraq.
Few of the roughly 170,000 U.S. military forces in Iraq are along the border with Turkey. But there is ample air power available.
Defense Secretary Robert Gates suggested this week that airstrikes or major ground assaults by U.S., Turkish, or other forces wouldn't help much because not enough is known about where the rebels are hiding at a given time.
Asked during a NATO meeting in Europe about the prospects of U.S. military strikes, he said: "Without good intelligence, just sending large numbers of troops across the border or dropping bombs doesn't seem to make much sense to me."