The BJP has 35 MLAs and the Indigenous People's Front of Tripura (IPFT) has eight.
Union minister Nitin Gadkari will be present at the meeting, Deb told PTI.
He said Prime Minister Narendra Modi and many Union ministers are likely to attend the oath-taking ceremony.
The elections in 59 seats of the 60-member Assembly were held on February 18. Polling was countermanded in one seat due to the death of a CPI(M) candidate.
IPFT president N C Debbarma also asked the BJP to select the chief minister from among the tribal MLAs.
The tribal party won eight of the nine seats it had contested. The BJP won 35 seats on its own, giving it a majority in the 60-member Tripura Assembly.
"We demand a respectable representation of IPFT MLAs in the new Cabinet," Debbarma told a press conference.
"We think it would be just for the indigenous people if an indigenous MLA is named as the chief minister. It is also the tradition in the northeast," he said.
The BJP-IPFT combine won 17 out of the 20 seats reserved for Scheduled Tribes in the February 18 elections.
Asked what will happen if the chief minister is not selected from among the tribal MLAs, Debbarma said, "I only said about the tradition. There is no force."
The IPFT came into being in late 1990s and campaigned for a separate state by carving out the Tripura Tribal Areas Autonomous District Council, which constitute two third of the state's territory.
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