Partially. The first major trial against Saddam Hussein was only
focused on one particularly large attack perpetrated against Shiite
Muslims in the southeast of the country (the Dujail Massacre).
As for the Al-Anfal Campaign (which is the "polite" term for the
Genocide of Iraqi Kurds), in December 2006 Saddam was put on trial
for the genocide during Operation Anfal. The trial for the Anfal
campaign was still underway on December 30, 2006, when Saddam
Hussein was executed for his role in the unrelated Dujail
Massacre.
The Anfal trial recessed on December 21, 2006, and when it
resumed on January 8, 2007, the remaining charges against Saddam
Hussein were dropped since he was now dead. Six co-defendants
continued to stand trial for their roles in the Anfal campaign. On
23 June 2007 Ali Hassan al-Majid, and two co-defendants Sultan
Hashem Ahmed and Hussein Rashid Mohammed were convicted of genocide
and related charges and sentenced to death by hanging. Another two
co-defendants (Farhan Jubouri and Saber Abdel Aziz al-Douri) were
sentenced to life imprisonment, and one (Taher Tawfiq al-Ani) was
acquitted on prosecution's demand.
Al-Majid was eventually hanged on 25 January 2010.