Sir Jack Brabham's youngest son David said in a statement:
It's a very sad day for all of us. My father passed away peacefully at home at the age of 88 this morning.
He lived an incredible life, achieving more than anyone would ever dream of and he will continue to live on through the astounding legacy he leaves behind.
More top news
More than 20 people are still unaccounted for after a huge blaze broke out at the 'rave cave' club night.
President Michel Temer arrived in Chapeco to oversee the remaining repatriation of victims of the Colombia plane crash.
Most parts will be dry this afternoon, although there are a few showers out to the western fringes of Britain.