General McChrystal promptly apologized for the Oruzgan episode, both directly to Afghanistan’s president, Hamid Karzai, and in a videotaped statement released to local television stations.

On Feb. 12 in a village near Gardez, in Paktia Province, Afghan police special forces paired with American Special Operations forces raided a house late at night looking for two Taliban suspects, and instead killed a local police chief and a district prosecutor when they came out, armed with Kalashnikov rifles, to investigate. Three women who came to their aid, according to interviews with family members and friends, were also killed; one was a pregnant mother of 10, the other a pregnant mother of 6.

A press release from the International Security Assistance Force, as NATO’s force here is known, said at first that the three women had been discovered bound and gagged, apparently killed execution style. NATO officials now say their bodies were wrapped in traditional manner before burial. Admiral Smith said Afghan forces fired the shots in the compound.

“The regret is that two innocent males died,” Admiral Smith said. “The women, I’m not sure anyone will ever know how they died.” He added, however, “I don’t know that there are any forensics that show bullet penetrations of the women or blood from the women.” He said they showed signs of puncture and slashing wounds from a knife, and appeared to have died several hours before the arrival of the assault force. In respect for Afghan customs, autopsies are not carried out on civilian victims, he said.

Interviews with relatives and family friends give a starkly different account and described an American cover-up. They say a large number of people had gathered for a party in honor of the birth of a grandson of the owner of the house, Hajji Sharaf Udin. After most had gone to sleep, the police commander, Mr. Udin’s son, Mohammed Daoud, went out to investigate the arrival of armed men and was shot fatally.

When a second son, Mohammed Zahir, went out to talk to the Americans because he spoke some English, he too was shot and killed. The three women — Mr. Udin’s 19-year-old granddaughter, Gulalai; his 37-year-old daughter, Saleha, the mother of 10 children; and his daughter-in-law, Shirin, the mother of six — were all gunned down when they tried to help the victims, these witnesses claimed.

All the survivors interviewed insisted that Americans, who they said were not in uniform, conducted the raid and the killings, and entered the compound before Afghan forces. Among the witnesses was Sayid Mohammed Mal, vice chancellor of Gardez University, whose son’s fiancée, Gulalai, was killed. “They were killed by the Americans,” he said. “If the government doesn’t listen to us, I have 50 family members, I’ll bring them all to Gardez roundabout and we’ll pour petrol on ourselves and burn ourselves to death.”