Essebsi died after being admitted to hospital in intensive care on Thursday.
At the end of June, it was announced that he was in hospital with a severe health crisis.
In April, he announced that he was not going to stand for re-election on 17 November despite calls for him to run.
He won the country’s first free presidential poll in 2014.
He was the interim prime minister after the 2011 uprising.
Before assuming the presidency in 2014, Mr Essebsi had served on-off in ministerial roles since the 1960s, including as the interior minister and speaker of parliament.
He came to power as the founder and leader of a secular party – Nida Tounes (Call of Tunisia) – who opposed Islamists in government.