The 66-year-old professor was reported to be in a critical condition on Tuesday after he underwent heart surgery in the early hours of Wednesday morning.
"The Gerwel family would like their privacy to be respected for the next couple of days. Funeral arrangement will be made known soon," said family spokesperson, Pam Barron, in a statement.
Gerwel was a well-known figure in South Africa's political history, and in his later years he chaired and was on the board of major organisations and corporations.
Gerwel – an academic, executive and multi-award winner – served as director general in the office of former president Nelson Mandela.
He was born on January 18 1946 in the Eastern Cape town of Somerset East and matriculated from Paterson High School in Port Elizabeth.
In 1967, Gerwel graduated from the University of the Western Cape with a Bachelor of Arts degree and completed his honours a year later.
In the late 1960s Gerwel became involved in the Black Conciousness Movement, led by Steve Biko. He became an educational advisor to the South African Students' Organisation in the early 1970s.
For a short while, Gerwel lectured at the Hewat Teachers' Training College in Cape Town and in 1971, he received a government scholarship to study at the University of Brussels.
Here he completed a licentiate [academic degree] in Germanic Philosophy and a literature doctorate.
When he returned to South Africa, he took up a teaching post at Grassy Park High School in Cape Town.
He later moved to the University of the Western Cape and became a lecturer.
In 1980, Gerwell was appointed a professor and just two years later became a dean of the university's arts faculty.
He was appointed vice-chancellor of the university five years later.
Gerwell's political participation raised eyebrows and before his appointment to permanent staff he received three probations. During the 1980 education protests, Gerwel was detained by police.
Nine years later, he and Archbishop Emeritus Desmond Tutu, together with fellow teacher Franklin Sonn, were arrested during a march in Cape Town.
Important policy issues
In 1991, Gerwel was elected a member of the ANC's Western Cape regional committee.
The University of the Western Cape said on its website Gerwel saw an "unambiguous alignment with the mass democratic movement and a new edge to the academic project".
It said that under the banner of "an intellectual home of the left", space was created for curriculum renewal and for innovative research and outreach projects.
"Important social and policy issues, which had been swept under the carpet by the government of the day, thus received attention," the university said. It then also formalised its "open" admissions policy, providing access to a growing number of African students.
In 1994, Gerwel was appointed to the post of director general in the office the Mandela presidency.
In a series of interviews with writer and researcher Padraig O'Malley, published on the Nelson Mandela Centre for Memory website, Gerwel talked of the crucial years preceding South Africa's transition to democracy.
'Miracle of transition'
He also recalled the tough negotiations at the Convention for a Democratic South Africa, and the first years after the election of Mandela as the country's first democratically elected president.
"We often forget the miracle of our transition, the fact that a country so deeply divided managed to negotiate a settlement and establish a democratic order, and establish a government of national unity and managed to establish national unity amongst the diverse, cultural, ethnic but particularly political groupings which we have in the country," he said in an interview in August 1998.
"So really one doesn't need to be very profound actually to make the statement that what has changed fundamentally in South Africa is that it has got a democratic government; South Africa has a government, has got a polity in which all of its people and all its political tendencies hold together."
During his own time in government, he named crime and unemployment as two areas of concern.
"So one would have wished that the combination of social factors and capacity for law enforcement was such that the crime situation was less critical than it is," he told O'Malley.
His awards include the Order of Southern Cross from Mandela, the Order of Good Deeds from Libya and Freedom of the Town from Somerset East.
He served as chairperson for Media24, the Allan Gray Orbis Foundation, and chairperson of the board of trustees for the Nelson Mandela Centre of Memory.
He has also been a chairperson of SAA and a chancellor of Rhodes of University.
A rugby and cricket lover, Gerwel was the chairperson of the policy committee of the 2003 cricket World Cup.
He was married to Phoebe Abrahams and they had two children – a daughter Jessie and a son Heinrich – and four grandchildren. – Sapa