Co-workers, loved ones and friends have paid tribute to the radio host who presented the afternoon drive-time show with collegue Adam Green for eight years.
Her family told the BBC that she was an “extremely talented” and “much loved” broadcaster.
The BBC said she was a “great presenter and journalist.”
In a statement Ms Archer’s family said: “Vicki was a much loved daughter and mother as well as being an extremely talented broadcaster.
We’re shocked and saddened to hear that Vicki Archer has passed away. Our thoughts are with her family, friends and colleagues at @BBCShropshire— Shropshire RCC (@Shropshire_RCC) August 7, 2018
"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."
Presenter Eric Smith announced Ms Archer’s death on air on Tuesday.
“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 said.
“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," he added.
The presenter had been part of the Radio Shropshire team for more than 20 years.
Her cause of death is currently unknown.