Salah and an undetermined number of bodyguards were seized in the upmarket western Mansour district at 11:30 am (1730 AEST), a ministry official said.
No group has yet claimed to have abducted Gen Saleh, who commands the interior ministry's Eighth Mechanised Police Brigade.
General Saleh commands a 1,600-strong interior ministry unit formed to deal with anti-occupation fighters and criminal gangs and it was one of the first armoured units to be reassembled after the war and the dissolution of the army.
Prisoner Uprising At Camp Bucca Continuing: Four Shot
April 5 KUNA, BASRA, South Iraq,
Inmates in the Buka detention camp in the border town of Um Qasr rioted anew on Tuesday and four of them were wounded.
Mehdi Al-Tamimi, the representative of the Human Rights Ministry in South Iraq, said in remarks to KUNA that the detention camp has been witnessing disturbances since last Friday. "Today the American guards opened fire at the prisoners wounding four, two of them seriously," he said.
He cited several causes of the riots, namely lack of space for the estimated 6,000 inmates in the small prison.
On Monday, the U.S. military said prisoners at Camp Bucca, Iraq's largest detention facility with about 6,000 prisoners, clashed with guards because they were angry that the prison was transferring several detainees deemed "unruly" by authorities.
The ministry, he added, has agreed with the American forces, in charge of the prison, to allow a three-lawyer team to assess needs and problems of the inmates.
Earlier today, the Central Command of the Multi-National Forces in Iraq said recent incidents in the detention camp resulted in injuring 12 prisoners and four guards.
The forces said in a statement that riots broke out when prisoners refused the transport of other prisoners out of the Buka detention camp. Prisoners set fire to their tents and tossed stones at the guards. The violence that broke out on April 1 was contained by the guards the same day.