Heptulla today invited Singh, who was unanimously elected the leader of the 21-member BJP legislature party yesterday, to form the government.
The invitation to Singh came on a day when four members of the Naga People's Front, an NDA ally, met the Governor and declared their support to BJP for government formation.
Raj Bhavan sources said the swearing-in would take place at one PM tomorrow.
On being asked about how many ministers will take oath along with the Chief Minister, BJP sources here said it was yet to be worked out.
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"Four NPF MLAs met the Governor and extended their support to the BJP for government formation," a Raj Bhavan source told PTI.
The BJP has claimed support of 32 MLAs in the 60-member assembly.
A BJP delegation had met the Governor on Sunday with 21 party MLAs besides four of NPP, and one legislator each of LJP, TMC and Congress.
The BJP had also claimed the support of the NPF and submitted a letter from the Naga People's Front president pledging the party's support to form the government.
After Goa, Manipur would be the second state among the five where elections were held recently where the BJP would form a government despite not being the single largest party by cobbling together a post-poll alliance.
Congress, which has 28 MLAs, led the tally. Okram Ibobi Singh, its Chief Minister for three consecutive terms, had resigned and staked claim to form the government, but numbers were on BJP's side.
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Heptulla told reporters that her decision to invite the BJP was backed by the fact that it has the requisite numbers.
She further said, "BJP has the requisite numbers. They are more than 30. It will be helpful for Manipur... I feel it is very necessary that we should have stability in the state.