Lambert and McGraw are up for seven awards apiece at the April 6 awards show. The nominations were announced Wednesday morning in a series of videos via social media.
Keith Urban is up for six awards and Taylor Swift, Blake Shelton, Kacey Musgraves and Lee Brice are next with five apiece. Florida Georgia Line and Lady Antebellum have four nods.
Lambert and husband Shelton are up for the top honor, the fan-voted entertainer of the year, with Swift, 2013 winner Luke Bryan and George Strait.
Shelton and Bryan will co-host the CBS broadcast from the MGM Grand in Las Vegas.
