The lawsuit was filed Thursday by 19 Recordings, a music company founded by "Idol" creator Simon Fuller.
The lawsuit says 19 discovered the royalty issue from two separate audits of Sony's records.
Other artists named in the suit include Clay Aiken, Chris Daughtry and Jordin Sparks.
Attorney Richard Busch, of the Nashville firm King & Ballow, says the legal action was necessary to protect the rights of 19's artists.
A Sony spokeswoman said she had no comment on the lawsuit.