Forty-eight-year-old Deb staked claim to Governor Tathagata Roy on March 6 to form the government in the state. The governor then invited him to do so.
The BJP-Indigenous People's Front of Tripura (IPFT) combine swept to power in the state last week, ending 25 years of uninterrupted rule of the CPI(M)-led Left Front.
The BJP had bagged 35 seats and the IPFT eight in the 60-member House.
Union minister Nitin Gadkari had stated on March 6 that Jishnu Debbarma will be the deputy chief minister.
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The election would now be held on March 12.
Prime Minister Narendra Modi, BJP president Amit Shah and three chief ministers of BJP-ruled states in the northeastern region would be present at the swearing-in ceremony, state BJP spokesperson Mrinal Kanti Deb said.
"All the chief ministers of the BJP-ruled states and the members of the BJP parliamentary board have been invited to attend the swearing-in ceremony, he said.
Deb, a long-time RSS volunteer, has been largely credited for the BJP's turnaround in the state.