Dortmund confirmed in a statement last week that Real have agreed to pay an initial 103million euros (£88.5m) to land Bellingham, who moved to Germany from boyhood club Birmingham in 2020.
Now both clubs have announced the deal for the 19-year-old has been finalised, with Real adding that he will be unveiled in the Spanish capital on Thursday.
“Real Madrid CF and Borussia Dortmund have agreed on the transfer of the player Jude Bellingham, who will remain linked to our club for the next six seasons,” a Real statement read.
“Tomorrow, Thursday, June 15, at 12:00 noon at Real Madrid City, the presentation ceremony for Jude Bellingham as a new Real Madrid player will take place.
“After, Jude Bellingham will appear before the media.”
Bellingham was recently named Bundesliga player of the season after his starring role for Dortmund, who missed out on the title in agonising fashion on the final day of the campaign.
The 19-year-old paid tribute to Dortmund on Instagram, writing: “Where to start, for the last 3 years Borussia Dortmund has been the biggest part of my life.
“I joined as a 17 year old boy and am leaving as a man. I cannot thank this club enough for everything it’s done for me.
“The opportunities, the experiences, the highs and even the lows. All of it has been part of what has been a great development both as a human and a player.
“I am honoured to have represented this football club as often as I have, I’d like to thank all the players, managers, bosses and members of staff that have played a role in my time at the club.
“I’ll always keep a place for BVB in my heart and will never forget the impact the values of the club has had on my life. Einmal Borusse, Immer Borusse. I wish the club nothing but the best for the future! Heja BVB!”
Bellingham scored his first England goal in their World Cup win over Iran but is absent from the squad to face Malta and North Macedonia in the upcoming Euro 2024 qualifiers due to injury.
He has long dreamt of a move to the 14-time European champions and recently told the PA news agency that he sees the Champions League as “the biggest stage”.
“The goal has always been winning,” he told PA last month.
“When you ask me what my biggest ambitions are in the game, it’s to win everything. And I’m not afraid to say that.
“You know, everyone should have that goal, I feel like, as professional footballers.”