The three musicians landed nominations in categories like Top Artist, Top Male Artist, Top Hot 100 Artist, and Top Hot 100 Song.
The leading trio will also compete for Top Selling Album, with the British singer's ÷ (divide) chosen alongside the USA popstar's latest offering Reputation and the rapper's universally acclaimed record DAMN.
Other top Billboard Music Award nominees included Post Malone (13), Imagine Dragons (11) and Drake (9). Bruno's That's What I Like, Rockstar by Post Malone and 21 Savage, as well as Luis Fonsi, Daddy Yankee and Justin Bieber's collaboration Despacito are also nominated.
Bebe received a nod in the Top Country Song section for Meant To Be, her collaboration with Florida Georgia Line.
Performers and presenters for the ceremony at the T-Mobile Arena in Las Vegas on 20 May have yet to be revealed.