In a statement shared by the BBC, her family said: “Vicki was a much loved daughter and mother as well as being an extremely talented broadcaster.
“We are still coming to terms with her tragic loss so would ask that people respect our privacy and leave us alone to grieve as a family.”
Vicki’s cause of death is currently unknown.
Radio presenter Eric Smith announced the news of her death live on BBC Radio Shropshire today.
He said: ”Our much loved colleague, Vicki Archer, who’s been part of your afternoons on this radio station for the past eight years, has died suddenly.”
He added the team’s thoughts are with her family, adding: “She was a great presenter, a great broadcaster, and she brought a wonderful sense of fun to her shows and behind the scenes in the newsroom too.”
BBC’s head of regional programmes for the West Midlands David Jennings said the team are “heartbroken”.
He said: “We are heartbroken at Vicki’s death.
“Everyone here at Radio Shropshire respected her as a great presenter and journalist, but so much more than that we loved the sense of fun she brought to her shows and the station.
“Her loss leaves a huge void. Our thoughts are with her family at this sad time.”
BBC Radio Shropshire also tweeted the news from their official account.
A post read: “We have some very sad news to share with you this afternoon. Our colleague Vicki Archer has died.”
Vicki was widely known for co-hosting the afternoon drivetime show with Adam Green since 2010.
Paying tribute to his co-host on Twitter, he penned: “I am sad and numb. Vicki was a lovely human being with a big heart.
“She was kind, generous, creative, warm and friendly to all she met.
“In the eight years I have worked with her there wasn’t a day when we didn’t laugh out loud. My thoughts are with her beautiful children and family.”
Radio presenter Carl Jones wrote: “Such devastatingly sad news – it was my pleasure and privilege to work with Vicki for the past eight years, and co-present the drive-time show with her on many occasions. One of life’s truly good people, who will leave a huge void.”
Vicki appeared on the radio show yesterday and tweeted a picture from the studio.
In view of her 4,123 followers, she joked that she had forgotten her glasses and made an alternative pair out of paper.
Holding up the humorous glasses, she penned: “I forgot my glasses. This will do though right?”
Just yesterday, she asked her fans for suggestions on what to do while she was home alone.
She penned: “HELP PLEASE Children are away for 5 days on holiday.
“#homealone Suggestions? Free every morning and evening so adventurous, exciting, different, indulgent or just gorgeous?
“This morning after voice overs I’m piloxing. No idea either. Cross between boxing, dance and hip hop ha ha.”(sic)