A total of 7,939 people have been detained, including 207 in the commercial capital Almaty, the ministry statement said.
The detainees were in possession of stolen goods looted from two markets in Almaty, the statement added.
Also on Monday, the country's intelligence agency National Security Committee said two groups involved in the protests in Almaty were "neutralized."
On Sunday, the Interior Ministry said more than 1,300 security personnel were injured while protecting public order.
More about: Kazakhstan