They say the 16 are employed by a Turkish construction company contracted to build a sports complex in the eastern Baghdad district of Sadr City.
The officials say kidnappers stormed the construction site at dawn Wednesday, where the workers were sleeping in caravans, and took the 16 away in several SUVs. The officials spoke on condition of anonymity because they were not authorized to speak to the media, AP reports.
Neither the identity nor the motives of the kidnappers were immediately known.
Turkey recently began launching airstrikes against the extremist ISIS group in northern Iraq and allowing U.S. warplanes to use bases in southeastern Turkey to strike against the extremist group.