The contemporary home came on the market more than two years ago at $4.1 million.
Salonen, 53, is the principal conductor and artistic advisor of the Philharmonia Orchestra in London.
The conductor-composer bought the property in 2002 for $1,516,000, according to public records.
David Offer of Prudential California, Brentwood, was the listing agent. Jane Siegal of Coldwell Banker, Beverly Hills North, represented the buyer.