The posts were from posts by Jayda Fransen, the deputy leader of the far-right group Britain First - founded in 2011 by former members of the far-right British National Party (BNP).
In one of the more disturbing videos that the president shared, an "Islamist mob pushes teenage boy off roof and beats him to death", according to the tweet.
"GOD BLESS YOU TRUMP!" she wrote in all caps.
One of the videos was shared by Ann Coulter, a US conservative commentator whom Mr Trump follows on twitter.
IFFI 2017: 'Embarrassed' By Akshay Kumar, Amitabh Bachchan Tweets 'Not Done'
In response to the queries, CBFC has issued the orders attached herewith. They think it is just a filmmaker and a film they are silencing.
She has separately been charged with using "threatening, abusive or insulting words or behavior" over a speech she made in Northern Ireland in August. "Spreading hatred has consequences & the President should be ashamed of himself".
A tweet from Fransen's account, which is verified by Twitter, appeared to celebrate the retweets.
After sharing the posts with his 43.6m Twitter followers, Mr Trump fired off three other tweets praising the United States stock market, suggesting a boycott of "fake news CNN" and commenting on the sacking of NBC presenter Matt Lauer.
In response to the Trump tweets, Fransen told IBTimes UK: "Islam is the biggest threat to our nation and Islamic immigration and Islamic terrorism has caused no end of problems in our country and [Trump's retweets] just illustrate people are waking up".
Mississippi State reportedly set to hire Joe Moorhead as next coach
Joe Moorhead - the architect of Penn State's high-flying, Big Ten title-winning offense - is reportedly leaving Happy Valley. He will take over a solid Bulldogs program coming off an 8-4 season that also went 9-4 in 2015 and 10-3 in 2014.
A day earlier and Fransen appeared on the neo-Nazi Radio Aryan show with Dave Russell.
Mr Doughty said the videos were "highly inflammatory" and Ms Cooper said the president had given Fransen a "huge platform" as one MP shouted "Disgraceful" and others said "Go on, stand up" at Ms Rudd.
Fransen is on bail in relation to the distribution of leaflets and the posting of online videos during a trial held at Canterbury Crown Court in May.
Angela Lansbury Says Women Must Sometimes Take Blame For Harassment
Dame Angela Lansbury has discussed her former marriage to a gay guy, admitting: "I had no idea that I was marrying a gay man". In infuriating news, Angela Lansbury appears to be victim blaming in a new interview with Radio Times .