[1] Prior to the 1992 Kurdistan Region parliamentary election, it created an electoral alliance with the Kurdish Socialist Party (PASOK).

[2] A mere month later, a faction under Mohammed Haji Mahmoud broke away from the KDP again, re-establishing the KSP-I.

The following year, it was renamed to Kurdistan Socialist Democratic Party (Kurdish: حزبی سۆسیالیست دیموکراتی کوردستان, romanized: Hizbî Sosyalîst Dîmukratî Kurdistan; Arabic: الحزب الاشتراكي الديمقراطي الكردستاني, romanized: Hizb al-Ishtiraki al-Dimuqrati al-Kurdistani).

The party's forces have fought in the Iraqi Civil War against the Islamic State of Iraq and the Levant (ISIL), mostly in the region south of Kirkuk.

Among the party fighters killed in combat against ISIL was Mohammed Haji Mahmood's son Atta.

[6] In late January 2024, the rivalry reemerged over a dispute whose son would become president of the Baxtiyarî Sports Club in Silêmanî.

[9] On April 4, the house of Ebdulla Haji Mahmoud's son in the village of Gulxane northwest of Halabja was attacked by an armed group.