"This is a very serious matter, particularly concerning Dalit people. This has been done (with Dalit girls) - so we are very serious on this", he said.
Shinde also said he would take up the issue of security of sarpanches and panches in Jammu and Kashmir with chief minister Omar Abdullah.
"I will talk to the chief minister in a meeting in Srinagar tomorrow (Saturday). The Unified Command meeting is being held tomorrow," he said.
The home minister reviewed the security situation and cross border infiltration along the Line of Control (LoC) in Poonch's Chakan-Da-Bagh forward area and IB in Suchetgarh sector of Jammu district.
Replying to questions on attempts being made to revive militancy in Punjab and subsequent attack on Gen Brar, he said, "after all it is to be looked up by the state and I do not want to disturb the relations between state and the Centre."
"If militancy is revived, the country will suffer economic loss," he said.
Referring to cross-LoC trade, he said it was going on smoothly after a very good start.