Forest Minister Chaudhary Lal Singh and Industries Minister Chander Prakash had attended the rally.
The BJP spokesperson also clarified that her party does not support the act of two BJP Jammu and Kashmir ministers who were seen at a rally supporting the alleged Kathua rapists.
"The Core Group expressed solidarity with the victim's family and resolved that the party will not cooperate with the state government until and unless the two erring Cabinet ministers are sacked for their unacceptable, abhorrent and criminal behavior in the light of this tragedy and its politicisation", he said. "However, neither the party supported the Manch nor ministers had supported their agitation except telling the agitators that they will take up their demand for CBI probe in the government", he added.
"The lesson for them is allow the law to take its own course before opening your mouth", Lekhi said.
The girl, who was from the nomadic Bakerwal Muslim community, disappeared near her house in Kathua, Jammu and Kashmir, on January 10. "The J&K police conducted a thorough investigation and have arrested the accused", she said. Her body was later found in a nearby forest.
An eight-year-old girl was abducted and raped over and over before being horrendously murdered by a group of men in Jammu and Kashmir's Kathua.
Addressing a press conference in New Delhi, BJP national spokesperson Meenakshi Lekhi said that the BJP has been speaking out against the Kathua and Unnao rape cases - both incidents that have hogged the national limelight in the last few days.
The state government entrusted the enquiry to crime branch who arrested eight people including a police sub inspector, police head constable, two special police officers, a former revenue official, his son, a juvenile and his friend in the matter.