Family spokesman and nephew Leo Mugabe says the date is yet to be determined.
Before that there will be a public ceremony at the state cemetery in Harare on Sunday, followed by a ceremony at Mr Mugabe's home village.
Mr Mugabe, who was 95, died last week while being treated in Singapore.
His body is now lying in state at the Rufaro football stadium in the capital.
What did Mugabe's family say?
Leo Mugabe told the BBC on Friday that there would be a public ceremony in Harare on Sunday.
He said Robert Mugabe's body would then return to his home village of Kutama, where clan chiefs and the family would be allowed to perform their own ceremonies.
Only at a later date - another Sunday as yet to be determined - would be finally buried at the National Heroes Acre monument in Harare, Leo Mugabe added.
However, it is unclear whether all family members agree with Leo Mugabe.
The family had earlier expressed shock at not having been consulted by the government about the funeral arrangements.
President Emmerson Mnangagwa had declared Mr Mugabe a national hero after his death, indicating he should be buried at the national monument.
Mr Mugabe's family is said to be bitter over him being ousted by his former ally Mr Mnangagwa two years ago.
Mr Mugabe fired Mr Mnangagwa in 2017, in what many believed was a way to prepare for his wife, Grace Mugabe, to succeed him.
Meanwhile, thousands of mourners have been queuing up at Rufaro stadium to pay their respects to Mr Mugabe.
There was a brief stampede on Thursday as people rushed forward to catch a glimpse of the former leader, the Reuters news agency reported.
Trust Nyakabawo told Reuters at the Rufaro stadium: "We are in pain after his death because we were so used to seeing him alive as a father figure that led the country well."
Rufaro Stadium is where Mr Mugabe was sworn in as Zimbabwe's first leader in 1980.
Mugabe: From war hero to resignation
Who was Robert Mugabe?
Mr Mugabe was Zimbabwe's first leader after the country became independent in 1980. He held on to power for almost four decades before being ousted in the 2017 coup.
During his early years, he was praised for broadening access to health and education for the black majority.
However his later years were marked by violent repression of his political opponents and Zimbabwe's economic ruin. An increasing number of critics labelled him a dictator.
He seized land from white owners in 2000.
Mr Mugabe famously declared that only God could remove him from office.
In 2017 he was placed under house arrest and four days later, replaced as the leader of his party Zanu-PF by his former vice president, Emmerson Mnangagwa.
Mr Mugabe initially refused to resign. But, on 21 November, as a motion to impeach him was being debated in the Zimbabwean parliament, the speaker of the House of Assembly announced that Robert Mugabe had finally resigned.
Mugabe negotiated a deal which protected him and his family from the risk of future prosecution and enabled him to retain his various business interests. He was also granted a house, servants, vehicles and full diplomatic status.