A suicide bomber detonated his explosives inside al-Thikalain Husseiniyah shrine in the town of Dakuk, south of Kirkuk, at around 2pm (1000 GMT).
At about the same time, a car bomb exploded outside the building.
Major-General Torhan Yussef, chief of Kirkuk police, said the victims included five members of a family living near the mosque.
Dr Azad Mahmud from Kirkuk General Hospital confirmed the toll and said that 11 of the wounded were in serious condition.
Dakuk is a town largely inhabited by Turkmen Shias.
|At least 16 people were killed in|
Friday's Kirkuk bombings [AFP]
Friday's second dual attack targeted the town of Tis al-Qurna, just north of Basra where British troops are based.
Police and medical officials said the explosions - a bomb in a minibus at a bus station and a car bomb in a market - rocked the town at around 7:30am (0330 GMT).
"First, a minibus exploded at a bus station in al-Qurna and around the same time another car bomb exploded in a market in the town," said First Lieutenant Imad Abdul Wahid of the Qurna police.
A medic in the town's local hospital confirmed the attacks.
Dr Mohammed Nawruz of Qurna hospital said: "We received 16 killed and 32 wounded, including many women and children from both attacks."
The third violent incident of Friday - a raid on the home of a senior police officer - took place in the province of Diyala.
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Armed men attacked the house of Colonel Ali Delyan Ahmed, head of police in Baquba, killing his wife, two brothers and 12 bodyguards.
Ahmed's children were also seized during the raid.