Streisand, 72, posted on Instagram the cover of album Partners to be released next month.
Presley's estate has given the singer permission to use his voice. The late musician's voice has also been used earlier post his death in 1977.
Digital technology has been used to insert the late music icon's voice alongside LeAnn Rimes, Celine Dion and Susan Boyle on a Christmas single of 'O Come, All Ye Faithful', using his 1971 vocal recording in the album, reported the Independent.