Many of Cyrus' followers were left horrified this week (ends05Oct14) when the star shared a snap of Savile, who was unmasked as a serial paedophile following his death in 2011, on his Twitter page.
The user had sent a message to Cyrus claiming the image was of his "granddad" who is a "huge fan" and would "love" a retweet from the star.
The picture, which went out to Cyrus' 1.7 million followers, was later removed from the site and the singer reposted a link to an article about the prank.
The stunt comes just days after Tv star and business mogul Donald Trump was targeted in a similar hoax.
Trump was tricked into re-posting a picture of notorious British serial killers Fred and Rosemary West by a prankster who claimed the snap featured his late parents who were big fans of The Apprentice boss.
Trump later wrote in a series of posts on Twitter, "Some jerk fraudulently tweeted that his parents said I was a big inspiration to them + pls Rt (sic) - out of kindness I retweeted. Maybe I'll sue... I thought I was being nice to somebody re (regarding) their parents. I guess this teaches you not to be nice or trusting. Sad!"