Holst, who died in 1984 aged 76, was the daughter of the renowned composer Gustav Holst, who is best known for his seven-movement orchestral suite The Planets.
The house features innovative design elements including a soundproofed music room where Holst worked and thoughtfully positioned windows framing views of the parish church.
Heritage minister Sir Chris Bryant said: “The significance of Imogen Holst’s home extends far beyond its status as an unassuming yet notable example of Jim Cadbury-Brown’s architecture.
“It was here at 9 Church Walk where some of the greatest musical minds of the 20th century converged, exchanged ideas and laid the foundations of the Aldeburgh Festival – now a cornerstone of British classical music in its 76th year.
Holst accepted and she became Britten’s musical assistant, and later the artistic director of the Aldeburgh Festival.