A fourth militant who allegedly participated in the attack on the U.S. Embassy in Damascus has died from injuries, a Syrian official said Wednesday.

The man died at a hospital Tuesday, said the official, who spoke on condition of anonymity because he was not authorized to speak to the media.

Three of the other suspected Islamic militants were killed in the brazen, midmorning assault on the embassy Tuesday. Syrian guards exchanged gunfire outside the compound's walls with the attackers, who shouted "God is great" and tried to storm in with automatic weapons and hand grenades.

CountryWatch: Syria

A Syrian guard was killed in the attack. No Americans were hurt.

Syrian authorities were not able to interrogate the fourth man because he was in critical condition before he died, the state-run Syrian Arab News Agency said. All four of the alleged gunmen were Syrian citizens, SANA reported.

The rapid response by Syrian guards won rare praise from the United States, which accuses President Bashar Assad's regime of supporting terrorism in its backing of Hezbollah guerrillas and Palestinian militants.

There was no immediate claim of responsibility the attack but suspicion immediately fell on a little-known Al Qaeda offshoot called Jund al-Sham, Arabic for Soldiers of Syria.

Syria's ambassador to the U.S., Imad Moustapha, told The Associated Press it was too early to say but "it's logically possible" Jund al-Sham was responsible.

Click here for FOXNews.com's Mideast Content Center