She became well-known across the United Kingdom when she worked at the London-based BBC Radio 1 in the 1980s.
"Please tell the people you love that you love them, because life is short and very precious", the BBC Northern Ireland weatherman wrote on Twitter. "I learnt so much from her at @bbcradiomanc and @bbcnwt - thank you".
She died at Manchester's Christie Hospital on Thursday 10 January following a short illness.
Her husband, Ian Hindle - who she married at Washington's Holy Trinity Church - said: "Dianne was an unbelievable wife and mother who embraced life to the full".
He said: "She will leave a massive void in our lives but, because of the remarkable person she was, she will forever live on in our hearts. The children and I will miss her more than anyone can imagine". Dianne was North West Tonight.More news: Samsung Unveils Massive 219 Inch TV Called ‘The Wall’
She had two children with her husband Ian Hindle.
A familiar face on television screens on the Island for many years, Dianne was the weather presenter on North West Tonight and also fronted the Inside Out current affairs programme. It is nearly impossible to comprehend.
Aziz Rashid, Head of BBC North West, said: "We are all devastated by this awful news".
Roger also said: "We are heartbroken by Dianne's death".
Annabel Tiffin, Johnson's co-presenter, said: "Di was so talented, so handsome, so amusing and so full of life". I can scarcely believe Dianne has died. "That transferred through her broadcasting skills and also through the team at BBC North West who I know are in bits this morning".
Matt emotionally began: "I certainly echo those thoughts - with her family and her friends".More news: Apple to launch 3 iPhones in wake of disappointing XR
'Di was so talented, so handsome, so amusing and so full of life. I've known her for 17 years, and she was full of warmth, full of humour, and full of energy as well.
After returning to to the north-west in the 1990s she presented BBC Radio Manchester's lunchtime show and later the station's flagship breakfast show.
Campbell described Oxberry as a "wonderful person, sweet and warm woman". She was a part of their lives. She was loved by our viewers, by all of us at the programme.
Woman's Hour host Garvey wrote: "Dianne was a formidable voice for women at the BBC, a fantastically supportive colleague. My honest condolences to all the team and, of course, to Dianne's family".
One of the BBC's longest-serving weather forecasters died suddenly this week after a battle with cancer, according to a new report.
"Above all she was a lovely woman whose sudden and shocking death has robbed the BBC of one of our brightest stars. Thinking of her family, colleagues and friends".More news: Louise Redknapp releases heartbreaking statement following horrific accident