This building was bombed by terrorists on September 17th, 2008. The new U.S. Embassy was constructed in 2009.
"The U.S. Embassy compound was located in the Beb Al-Azab quarters in central Sana'a. It was a traditional Yemeni house that has been converted to office facilities and a staff residence for the U.S. Embassy. The design took advantage of local materials and technology. The U.S. Embassy compound was made up of several buildings: a Chancery, a residence, and the consulate, which were originally all houses, and some support facilities. The compound as a whole was served by one main entrance branching off Tahrir Square in the centre of Sana'a."
--http://www.archnet.org/library/sites/one-site.jsp?site_id=308