The two officers say Riyadh al-Adhdah, a Sunni medical doctor and member of the Iraqi Islamic Party, was taken away yesterday in Baghdad's Azamiyah district.
It was not immediately clear whether he was arrested by security forces or abducted. The police officers spoke on condition of anonymity because they are not authorized to brief the media.
In 2012, al-Adhdah was imprisoned for eight months on terrorism charges.
The provincial councils are the highest of the four tiers of local government in Iraq established following the 2003 US-led invasion that toppled former President Saddam Hussein.