Modi, who is seeking a rare third consecutive term, referred to Muslims as "infiltrators" during a campaign speech on Sunday, drawing widespread criticism from opposition groups
It has threatened to leave the alliance if its demand is not met within the stipulated time frame.
It made the demand at a briefing by NDP Secretary General Alamgir Majumder at a Dhaka hotel on Saturday.
He said that the party's National Executive Committee relieved its Chairman Golam Mortaza Khandaker of his responsibilities and made him the acting chairman.
On Aug 24, a faction of National People's Party led by its chief Sheikh Showkat Hossain Nilu left the BNP-led coalition.
Another constituent, the NAP (Bhashani) left the alliance before the Jan 5 polls.
BNP leaders have been alleging that the government is conspiring to create rift within the alliances in an effort to thwart their movement.