Sorrell Leczkowski, 14, was described by her family as a "clever, talented, creative girl" who would be remembered for her love of life.
The Allerton High School pupil, who lived in Adel, was one of 22 people killed during the attack which followed an Ariana Grande concert at the arena on May 22.
Others killed in the blast included Leeds Beckett University student Courtney Boyle, 19, and Wendy Fawell, 50, from Otley.
Many more were seriously injured, including Sorrell's mother and grandmother.
As the funeral took place, Sorrell's family issued a statement giving their thanks to everyone who has supported them during this very difficult time.
It said: “Thank you to everyone who has reached out to us over the past weeks. Sorrell will always be remembered for her love of life and her hopes and dreams for the future. Our hearts are broken but the love and thoughts of so many people from the local community and beyond is thoughtful and extremely comforting.
“Sorrell was only 14, but she was our rock, she kept us all grounded. She was such a clever, talented, creative girl, there was nothing she couldn’t do.
"She was going to be an architect and wanted to go to Columbia University in New York to study so that she could build hotels with slides coming out of the rooms and so that she could build her mum a house.
“As a family we have been grateful for the respect shown by the media and kindly request that we are allowed to continue to grieve privately.”