The attacks occurred in a city long considered relatively safe for U.S. troops, compared to Baghdad and the cities and towns in the "Sunni Triangle" to the south.
Elsewhere, paratroopers of the 82nd Airborne Division captured two former Iraqi army generals in Fallujah, the military said. The generals were not identified, but the military said they were suspected of financing and organizing anti-coalition fighters in the volatile city west of Baghdad.
Guerrillas near Fallujah shot down a U.S. Army Chinook helicopter on Sunday, killing 15 soldiers in the bloodiest single strike against American forces since the war began March 20.
No American soldiers were reported killed Wednesday by hostile fire. But one 1st Armored Division soldier died of wounds from a "non-hostile gunshot" at a checkpoint in Baghdad, the military said.
In other developments:
In Baghdad, the new head of the Iraqi Governing Council, Jalal Talabani, announced he would visit Turkey on Nov. 19 to seek improved relations with Iraq's northern neighbor. He said he would also go to Iran and Syria.
Relations were strained last month when the Turkish parliament voted to allow the government to send troops to join the U.S.-led occupation of Iraq. The Governing Council strongly opposed a deployment because of hostility among the Kurdish minority and ill feelings after four centuries of domination by the Ottoman Turks.
Talabani, who assumed the rotating council presidency Saturday, is a Kurdish politician. Turkey fought a 15-year war against Kurdish rebels, who still have bases in northern Iraq.
On Tuesday, Turkey's ambassador to the United States, Osman Faruk Logoglu, said his country would not send peacekeeping troops into Iraq without an invitation from the Governing Council.
Responding to reported criticism of the Governing Council in an Arab newspaper, Talabani defended the U.S.-appointed body, saying: "The council's representation of the Iraqi people is better than the representation of any Arab country to its people."
And he blamed Osama bin Laden's al Qaeda terror network and an allied group for car bombings and roadside blasts that have killed dozens of people in Iraq in recent weeks.
"We believe that the fighters in Iraq belong to the organization of al Qaeda and Ansar al-Islam," Talabani said. "We have a plan to fight those."
Washington says Ansar al-Islam is linked to al Qaeda, and some U.S. officials say it represents the main organized adversary to American forces in Iraq.