Bellingham completed a €103m move to the 14-time European champions on Wednesday from Borussia Dortmund, signing a six-year contract.
Bellingham departed Dortmund after three years at the club, making 132 appearances, scoring 24 goals and winning the DFB-Pokal in the 2020/2021 season.
The former Birmingham City youngster was named the Bundesliga's player of the season this term after Dortmund missed out on the title to Bayern Munich on the final day.
With his parents watching on, Bellingham said: “Thank you for everyone for joining me on the proudest day of my life.
“The day where I joined the greatest football club in the history of the game. There are a lot of people to thank for getting me to this point – Borussia Dortmund and Birmingham City, the people that worked there.
“Also the bosses here (at Real Madrid); Mr President (Florentino Perez), Juni Calafat (scout), Jose Angel (chief executive).
“Of course, most importantly, my family for all of the support and making the deal as easy as possible, so thank you very much and finally, Hala Madrid.”
Real Madrid president Florentino Perez added: “He decided to join Real Madrid, the most prestigious team in the world.”
“That is why we welcome today – at Real Madrid – Jude Bellingham.
“The day has arrived, the day you always dreamt of, we would like to thank you because you gave everything you have to be here.
“Thank you for your ambition – this is the most loved club and from today you will get all the values that represent Real Madrid.
“I’m sure you fell in love by watching how Real Madrid got five Champions Leagues in the last nine years, some unforgettable moments…Jude, Santiango Bernabeu is waiting for you.
“You will feel the history of this club, all the Madristas gather around this feeling that we will always help you out and do absolutely everything to win every single title.”
