The album will also include a recording of Corigliano's Violin Sonata by Bell.
The recording will be the BSO's first for a major label since 1998, when Sony recorded a disc featuring violinist Hilary Hahn and conducted by David Zinman.
Yuri Temirkanov gave his final concerts as music director of the BSO last weekend. Alsop, who was appointed over the objections of musicians in the summer of 2005, will officially take over the post at the beginning of the 2007-08 season, but she helped to plan the 2006-07 season and will conduct regularly starting in January.