Police officials said the evening attack took place when a suicide bomber detonated his explosive belt inside a tent where the funeral was being held in Baghdad's southern neighbourhood of Dora.
Two other attacks in the country's north left two policemen dead and 37 others wounded, the officials added.
Today's bloodshed came a day after a wave of attacks killed 104 people, most at a double suicide attack on a Shiite funeral in Baghdad.
More than 4,000 people have been killed between April and August, a level of carnage not seen since the country was on the brink of civil war in 2006-08.
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Earlier today, a suicide bomber rammed an explosives-laden car into a residential area in the city of Kirkuk, wounding 35 people, Kirkuk Police Brig Gen Anwar Mohammed Qadir said.
The bomber targeted both a Kurdish educational office and an adjacent house for a Christian lawmaker, Qadir said. Seven members of the lawmaker's family were wounded in the attack.
Kirkuk is home to an ethnic mix of Arabs, Kurds and Turkomen who all have competing claims to the oil-rich area.
Acting UN envoy in Iraq Gyorgy Busztin condemned the bombings, urging the government to boost security measures and Iraqis to refrain from revenge attacks.
"Retaliation can only bring more violence and it is the responsibility of all leaders to take strong action not to let violence escalate further," a statement from Busztin said.
Hospital officials confirmed the casualty figures for all attacks. All officials spoke on condition of anonymity because they were not authorised to speak to media.