Performances will be held May 18, 21 and 24, 2014.
The role of doomed Southern belle Blanche DuBois in the Previn opera was written for Fleming, who created the part in 1998 when the San Francisco Opera presented its premiere.
Bass-baritone Ryan McKinny will play Stanley Kowalski, and soprano Stacey Tappan will play Stella. Tenor Anthony Dean Griffey, who originated the role of Harold "Mitch" Mitchell in 1998, will perform the role in L.A.
The operatic adaptation of Tennessee Williams' play will be conducted by Patrick Summers and performed at the Dorothy Chandler Pavilion.
Tickets go on sale Oct. 20. More information is available by visiting laopera.com.