In a neighborhood close by, gunmen attacked a Christian family in their home, shooting a father and his three sons, police said. One of the sons died instantly and the other son and the father were wounded.
Many of Iraq's estimated 1 million Christians have fled the country after targeted attacks by extremists.
In October, more than a thousand Iraqi families fled the northern city of Mosul after they were reportedly frightened by a series of killings and threats by Muslim extremists, who apparently ordered them to convert to Islam or face possible death.
Kirkuk is 150 miles (240 km) north of Baghdad.