Congress MLA Ram Kumar Chowdhary had earlier accused the Chief Minister of implicating him in the murder of a girl.
"How can I or Himachal government play a role in it," he told reporters adding that the allegation is "totally false".
BJP today raised the issue in Assembly before it was adjourned sine die.
"The BJP, which is frustrated for want for issues and fearing inquiries into alleged misdeeds and irregularities committed by it, while in power, was trying to rake-up non-issues and shying away from real issues concerning the people and the state," Singh said.
Elected from the Doon Assembly seat Chowdhary, general secretary of Himachal Pradesh Congress Committee, went missing since his name figured in the murder of Jyoti, but later surrendered before the court and was remanded to judicial custody. He is the son of four-time Congress MLA, Lajja Ram.
Earlier the victim's father Butti Ram, had filed a complaint with Haryana Police alleging that Chowdhary had close links with his daughter and could be involved in the murder.