The AHRC has asked the home department to inform it about the steps taken within 21 days, and said the next course of action will be decided on the basis of the response.
Maoists blew up a building housing the office of a farmers' organisation and set afire a community hall in Jhargram sub-division of West Midnapore district early on Friday.
Police personnel in adequate strength were deployed across the state to maintain law and order, officials said.