The NSA was invoked against Nawaz, a resident of Talab Chowk area and Mohsin alias Nati, resident of Jakaria Masjid area, for alleged involvement in the April 10 violence, in-charge superintendent of police Rohit Kashwani said.
People can make purchases for the festivals on Sunday, when the curfew has been relaxed from 8 am to 5 pm, they said.
The deceased, Ibresh Khan, a sanitation worker, became the first fatality of the violence in Khargone.
The body of Ibresh Khan was kept at a government hospital in Indore for eight days after it was found in Khargone's Anand Nagar area as the freezer facility was not available in Khargone, police said on Monday.
In the clip, which went viral on social media, an announcement on a truck-mounted sound system was heard about the call to boycott the community members, accusing them of spreading violence in Khargone.