Another Twitter user posted video of Williams performing Strong but changing the lyrics of the chorus to "Manchester, we're strong, we're strong".
Williams is set to perform in Manchester again this weekend after it was confirmed he'll reunite with his hit 90s boy band Take That for Ariana Grande's benefit concert.
The concert, which will be broadcast live at 4am AEST on Monday morning, will be held at the Old Trafford cricket ground in Manchester and is expected to include performances from Ariana Grande, Justin Bieber, Katy Perry, Miley Cyrus, Coldplay, Niall Horan and Little Mix.
The city is still recovering from the attack that saw suicide bomber Salman Abidi detonate an explosive after Ariana Grande's concert on May 22.
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The blast killed 22 and injured more than 100 others.
The Manchester Arena attack is the second in as many weeks after London currently deals with a terrorist attack with early reports suggesting seven people have reportedly been killed and as many as 20 injured after terrorists mowed down pedestrians on London Bridge and then went on a stabbing rampage.