The swearing-in ceremony will take at 10:00 local time (07:00 GMT) at State House in Dar es Salaam, according to a notice by the chief government spokesman, Hassan Abbas.
The Tanzanian constitution requires that the Vice-President takes over for the remaining term if the sitting president dies, resigns or is indisposed.
It will make her the first female president of the East Africa nation and the second president to come from the country’s semi-autonomous islands of Zanzibar.
Ms Hassan will be the sixth president of Tanzania and the second from the country’s semi-autonomous islands of Zanzibar.
Meanwhile, state funeral arrangements are underway for Tanzania’s President John Magufuli who died on Wednesday of a “heart condition”.
Ms Hassan is due to address the nation on Friday on the burial date, as well as on activities that will precede Mr Magufuli’s burial, according to the government spokesman Hassan Abbas.
Public viewing of President Magufuli’s body will be done in the commercial hub of Dar es Salaam, the capital Dodoma, the western town of Mwanza and in his home town of Chato.
The president’s coffin will also be paraded through major roads, the government spokesman said.
Condolence books will be distributed countrywide for the public to pay their respects.