The men were severely injured in a bombing attack near Taji, Iraq, but were treated quickly at the U.S. military hospital in Balad, about a 20-minute ride from Baghdad, ABC said.
Both suffered head injuries. Woodruff had shrapnel wounds and Vogt was hit by shrapnel in the head and suffered a broken shoulder, the network said.
Both were wearing body armor, helmets and ballistic glasses at the time of the bombing.
Woodruff, Vogt and a four-man broadcast team were traveling in a convoy with Iraqi security forces, ABC reported. They had been embedded with the 4th Infantry Division but were in an Iraqi vehicle when an improvised explosive device was detonated. The explosion was followed by small arms fire.
ABC said the news team initially had been traveling in a U.S. armored vehicle, but had transferred into the Iraqi vehicle.
The U.S. military said it would conduct an investigation of the attack.
Woodruff was on assignment in Iraq and planned to broadcast from there this week for the State of the Union address.
Woodruff was named co-anchor of ABC News' "World News Tonight" earlier this month.
He also contributes reports to "Nightline" and other ABC News broadcasts. Most recently he covered the presidential campaign of Sen. John Edwards, D-N.C.