The officials say that the acting deputy justice minister, Abdulkarim Fares, was stopped in his car by a number of gunmen dressed in black.
Two security guards and another man - identified either as another ministry official or Mr Fares's driver - were also abducted, said reports.
The identity of the kidnappers is not known.
Kidnappings happen regularly in Baghdad - either motivated by financial gain or to achieve political ends.
An Iraqi government minister has been kidnapped in north-eastern Baghdad, said security sources.