The singer-songwriter is also up for best single of the year as well as best British male solo artist alongside four artists who released their debut solo albums in 2017 - Liam Gallagher, Stormzy, Loyle Carner and Rag'N'Bone Man.
Grime star Stormzy, singer Rag'N'Bone Man and rapper J Hus join her and Sheeran for the best album prize.
Sheeran has also received a nomination for best British single with "Shape of You", alongside Clean Bandit and Zara Larsson with "Symphony", Liam Payne with "Strip That Down", Calvin Harris with "Feels", J Hus with "Did You See" and with "Touch".
Meanwhile Dua Lipa, 22, has five nominations including best British female solo artist, where she will battle it out against 2015 victor Paloma Faith, rapper-poet Kate Tempest, Jessie Ware and Laura Marling.
Gorillaz, London Grammar, Royal Blood, Wolf Alice and The xx are up for British Group, while Dave, Dua Lipa, J Hus, Loyle Carner and Sampha will battle it out for British Breakthrough Act.
Speaking on the red carpet, Liam Payne told BANG Showbiz: "It's really great and there are some great artists in those categories as well".
Liam is up against Harry Styles and Zayn Malik for Video of the Year, but the 24-year-old insists it's all good fun.
"I love it. We all needed a break, it got a bit insane at one point".
'We all needed a break, it got a bit insane at one point. "There is always time for us to come back, we have that".
Clean Bandit added: "We've been nominated, but never won anything. I don't think our kid's got it in him anymore anyway, it seems to me like he's playing to the snobs and the world and the toffs".
"To be one of the people who are mentioned among these names..."
At the ceremony to announce the nominations, Jorja Smith was also revealed as the victor of the 2018 critics' choice BRIT Award. Her single New Rules was a break out hit previous year and she is nominated in five categories including best album, best female artist and best single.
The Brit Awards will take place on February 21 at London's O2 Arena.