MLA Mohmmad Sharief Naiz also alleged that the minister is indulging in anti-party activities by supporting opposition workers.
He, however, did not disclose the minister's name.
"If this so-called (Congress) minister does not stop activities against me and anti-Congress acts in Bhaderwah and High Command do not take any action against him, then I have no any option but to resign from the MLA seat," Naiz said.
Naiz, a former state minister, said he has written in this regard to AICC president Sonia Gandhi.