Al-Jazeera reported that the group's statement said if the Italian government's response to their demand was not clear and direct, it would be interpreted as a refusal.

The group said the man, who identifies himself on the video as Enzo Baldoni, "claims to be a journalist."

The man speaks in English on the video, and says he is 56 years old.

"I'm a journalist. I write about social issues and I volunteer with the Red Cross," he says. "I came to Iraq to write a chapter for my book on the resistance."

The tape shows Baldoni's passport and other kinds of identification.

Soon after the video appeared on Al-Jazeera the Italian government released a statement insisting it would stay in Iraq despite the kidnapping.

It said that while it was committed to obtaining Baldoni's release, it would keep its military and civilian presence in Iraq "for the contribution to the re-establishment of the security and public order which are indispensable conditions for Italy's active role in the humanitarian assistance."

Prime Minister Silvio Berlusconi's government supported the U.S.-led war, and sent about 3,000 troops after Saddam Hussein was toppled to help in reconstruction.

Baldoni disappeared on Thursday between Baghdad and Najaf, the holy city where fighting has raged between militants and U.S. forces for nearly three weeks.

He is a contributor for the Italian news monthly Il Diario and was planning to write stories for the magazine in Iraq.

Il Diario's foreign news editor, Alessandro Marzomagno, told CNN after seeing the Al-Jazeera video that he and the rest of the staff were relieved to learned that Baldoni is alive and well. Marzomagno also said they have faith that a peaceful solution can be found for Baldoni's release.

Baldoni, a successful advertisement agent based in Milan, traveled to Baghdad at his own expense, magazine staffers said.

Marzomagno said Baldoni took vacations in conflict zones and wrote about the fighting in a personal effort to understand why conflicts end up being resolved by war.

After seeing video of her husband on Al-Jazeera, Giusy Bonsignore told the Italian wire service ANSA she was in constant contact with the Italian foreign ministry.

"I am happy to have found him in good health," she said. The couple have two children.

Also Tuesday, the Lebanese Broadcasting Corporation aired a video statement from a group calling itself The Sword of Islam Brigades, which says it will release Lebanese hostage Mohammad Raad in response to requests by Muslim authorities in Iraq.

In the video, the hostage is seen sitting on a chair surrounded by three masked men, two of whom are armed.

"By releasing Mohammad Raad we are sending a message to the Lebanese government that we are not criminals," one of the masked men read. "We only target Americans and those who help them in attacking the Iraqi people.

"We are releasing Mohammad Raad in response to the appeals by the Iraqi Muslim authorities and because we are Arab brothers and the Lebanese are good people who are fighting Israel."