The 19-year-old, who was taken into custody before later being released on bail, has now spoken out after remaining silent since the allegation.
“At a time when there are bigger things happening in the world right now, you may also have been aware of serious allegations that were made against me,” read a statement from the Chelsea winger.
“I have stayed silent and assisted the police fully with enquiries as I knew the day would come soon when my name would be cleared.
“Following a full and thorough investigation, the police have now confirmed they will take no further action.
“I would like to use this platform to thank everyone who has stood by my side and supported me during this difficult period.
“I have learned that being a footballer and playing for one of the best clubs in the world comes with great responsibility, and going forward I will try and use my platform as a Chelsea player to be the best role model that I can be.”
A police statement read: “A man arrested on Sunday, 17 May following an allegation of rape made has been released with no further action.
“The incident is therefore no longer being investigated by police.”
Hudson-Odoi has appeared on 17 occasions for the Blues in the Premier League this term before the coronavirus pandemic forced the campaign to be suspended.
He was also one of the first Premier League footballers to test positive for Covid-19 back in March, shortly before all games were called off.
Hudson-Odoi confirmed soon after that he was recovering.
“Guys, as you may be aware, I’ve had the virus for the last couple of days which I’ve recovered from,” he said.
“I’ve followed the guidelines and will be self-isolating for a week.
“I hope to see everybody soon, and hopefully we can get back on the pitch soon. Take care.”
Join our new commenting forum
Join thought-provoking conversations, follow other Independent readers and see their replies