In a post on social media, the group writes that "We will not allow other artists - especially those in the early stages of their careers or in other positions of professional vulnerability - to be threatened into silence".
The appeal came after reports that the organization UK Lawyers For Israel (UKLFI) has tried to silence Bob Vylan after the band's controversial performance at Glastonbury.
Furthermore, Massive Attack writes that they want "to show some form of solidarity with the artists who live in a genocide but are afraid to use their platforms to express their horror over it."
Among those who have already responded to the appeal are Kneecap, Fontaines DC, Brian Eno and Garbage.