They said in a statement: “Following a challenging and committed fight against prostate cancer, Bill passed away peacefully at his home in Suffolk surrounded by his family on 31 August.
“Bill was diagnosed in 2017 and has had outstanding medical care from the Royal Marsden and Ipswich hospitals, St Elizabeth hospice and his GP.
He was resolutely positive and was hugely buoyed by the support he received from friends, colleagues, and messages from people wishing him luck.
It was a great comfort to Bill that so many more men are now testing earlier for this disease.”
Turnbull presented BBC Breakfast for 15 years, stepping down in 2016 after the show moved to Salford.
He was also a regular presenter of Songs of Praise, and hosted BBC One daytime quizshow, Think Tank.
In 2016, he began hosting his own radio show on Classic FM, which aired on Saturday and Sunday mornings and whose broadcasts he presented until recently.
He was also a contestant on the 2005 series of Strictly Come Dancing, finishing in sixth place with his partner Karen Hauer.
Turnbull announced his prostate cancer diagnosis in 2018, stating that the disease had spread to his bones.
The discovery of his illness came during the recording of a celebrity edition of The Great British Bake Off – which was in aid of Cancer Research’s Stand Up to Cancer.
He went on to front a documentary for Channel 4 called Bill Turnbull: Staying Alive, in which he explored the use of cannabis oil for medicinal purposes.
n recent years, Turnbull had guest presented episodes of the One Show and Good Morning Britain alongside Susanna Reid whom he had earlier worked with on BBC Breakfast.
“But above all, he was devoted to his family and I am heartbroken for them. RIP Bill. We will miss you so much.”