The swearing-in of the new ministers would take place on March 9, he added.
"The governor has appointed me the chief minister of the state," Deb said.
He added that Prime Minister Narendra Modi, BJP president Amit Shah and chief ministers of all the BJP-ruled states would be invited to the swearing-in ceremony.
Deb was unanimously elected the BJP Legislature Party (BJPLP) leader at a meeting here earlier in the day, Union minister Nitin Gadkari, who attended it as the party's central observer, told newsmen.
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BJP's poll ally, the Indigenous People's Front of Tripura (IPFT), has demanded that the chief minister should be from the tribal community.
The BJP-IPFT combine swept to power in the north-eastern state last week, winning 43 seats in the 60-member Assembly. The BJP bagged 35 seats and the IPFT eight.
Polling was held for 59 seats on February 18 as it was countermanded in one seat due to the death of the CPI(M) candidate.