Dozier spoke of dangers
She is in critical condition, but doctors are cautiously optimistic about her prognosis, the network said.
Douglas had risked his life covering international conflicts for CBS since the early 1990s, including Iraq, Afghanistan, Pakistan, Rwanda and Bosnia, according to CBS News. He is survived by his wife, two daughters and three grandchildren.
Brolan was a freelancer who worked with CBS News in Baghdad and Afghanistan in the past year. He also shared an award with the network for its coverage of last year's deadly earthquake in Pakistan. He leaves a wife and two children.
Dozier has reported from Baghdad since 2003. She is based in Jerusalem.
"This is a devastating loss for CBS News," said Sean McManus, president of CBS News and Sports, in a statement on the network's Web site. "Kimberly, Paul and James were veterans of war coverage who proved their bravery and dedication every single day. They always volunteered for dangerous assignments and were invaluable in our attempt to report the news to the American public."
Speaking on CNN's "Reliable Sources" in November 2004, Dozier described the dangers of trying to talk to ordinary Iraqis in Baghdad.
"The last time I tried to do that, to go to someone's home and sit down with that man and say, 'Are you thinking about leaving Iraq or staying?' the moment he saw me, blonde hair and my two armored vehicles ... he turned white," Dozier said.
"It means I can't go out and hunt a story. I'm having to wait for it to come to me, or I'm having to train Iraqi translators to go out and be my eyes, be my ears, ask the questions that I would ask if I could."
Earlier this year, ABC News anchor Bob Woodruff and cameraman Doug Vogt were seriously wounded when the U.S.-Iraqi military convoy in which they were embedded was hit by a roadside bomb near Taji, north of Baghdad.
Between 94 and 120 journalists and media support staff -- including drivers and translators -- have been killed in Iraq since the war began in 2003
, according to journalists' organizations and watchdog groups.