This year marks the 40th anniversary of Hendrix's death Photo: REUTERS
The 12-track album, Valleys of Neptune
, features the final studio sessions of the original Jimi Hendrix Experience line-up.
Hendrix died in September 1970, aged 27.
Most of the songs were recorded in 1969 at London's Olympic Studios and New York's Record Plant. They include covers of Sunshine of Your Love by Cream and Bleeding Heart by Elmore James, plus original tracks Lullaby of Summer and Red House. The earliest song on the album, Mr Bad Luck, dates back to 1967.
The recordings have circulated in bootlegs over the years, but this is the first time they have been released officially. Each has been digitally restored to bring the sound quality up to modern standards.
Janie Hendrix, the guitarist's sister and manager of his estate, said: "My brother Jimi was at home in the studio. Valleys of Neptune
offers deep insight into his mastery of the recording process and demonstrates the fact that he was as unparalleled a recording innovator as he was a guitarist.
"His brilliance shines through on every one of these precious tracks."
The album will be out on March 8, one of a series of releases marking the 40th anniversary year of Hendrix's death. The title track will be released as a single on February 2.