Abbad is an Islamic name. People with this name include:
Abbad ibn Bishr (circa 606–632), from the Arabian peninsula and companion to the Islamic prophet, MuhammadAbbad I or Abu al-Qasim Muhammad ibn Abbad (ruled from 1023 and died in 1042), founder of the Abbadid dynasty in SevilleAbbad II, Abbad II al-Mu'tadid or Abu Amr Abbad (ruled from 1042 and died in 1069), second ruler of the Abbadid dynasty in SevilleAbbad III or Al-Mu'tamid ibn Abbad (1040–1095), poet and third and last ruler of the Abbadid dynasty in SevilleIbn Abbad al-Rundi (1333–1390), leading Sufi theologian, active in Magreb, MoroccoFray Íñigo Abbad y Lasierra (1745–1813), Spanish Benedictine monk and historian of Puerto Rico