Thirteen people were also wounded in the blast, which occurred at around 9:00 a.m. (0600 GMT) on Monday in the city which is 50 km (32 miles) west of Baghdad.
"He blew himself up among a group of day laborers," said Captain Bashar Mohammed, the chief of a police station in Fallujah.
Ahmed Abdul Halim, a doctor at Fallujah General Hospital has also confirmed the toll.
Reuters had earlier reported that a car bomb had killed the seven people in Fallujah.
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