The most famous hammam (Arab bath) in Damascus, Hammam Nureddine (also spelt Nur al-Din) is also its grandest and one of its oldest. It was built by the Zengid ruler Nureddine in 1154 AD to generate income for his nearby funerary madrassa. It was significantly remodelled under the Ottomans and also restored in the 1980s. Hammam Nureddine is located at Souk el-Bzouriyeh, adjacent to Khan Assad Pasha, and is recommended for tourists who want to experience the joys of an Arab bath.
This is one of the oldest hammams (bath house) in Damascus located on one of the side streets in the Souq. Just ask someone and they should know where it is. It's for men only, so the women had to go to another bathhouse. My experience was great and cheap. The package included a sauna, steam bath, abrasive scrub, massage (although it was pretty rough), and a final clean off. They give you wooden shoes, tons of towels, and a bar of local olive oil soap to wash with. After you're all clean, you can chill in the domed reception room to dry off and sip on some tea. I've heard this is not the absolute best hammam in Damascus because it is very touristy (you don't even need to know Arabic here), but it was a nice experience given we did not have time to look for the better hammams.