Elton paid tribute on Instagram by posting a photo of them together, and writing that he was sad to hear about the 89-year-old’s passing.
Ex-Strictly Come Dancing judge Arlene Phillips stated: “To me, he was an indestructible titan tap dancing his way through life. I’ve known Bruce since the 70s when we judged a disco dance competition together and the rest is history.
“Working with him on ‘Strictly’ was personally a joy. His endless teasing of my judging style, particularly with strong sportsmen, was an ongoing joke. His enormous support after I was let go from the ‘Strictly’ panel meant so much.”
She added that Bruce was ”a true legend” with ”phenomenal tap dancing skills” who was able to use comedy ”to avoid disaster on a live show.”
BBC Director General Tony Hall said: “Sir Bruce was one of the greatest entertainers our country has ever known.
“He has delighted millions of people and defined Saturday night television for decades, with shows like the Generation Game and, most recently, ‘Strictly.’
“His warmth and his wit were legendary. I’ve never seen anyone quite like him when it comes to performing in front of a crowd.