Revealing the news, the French fashion house's parent company LVMH described Abloh as a "genius" and a "visionary".
The US designer came to prominence as Kanye West's creative director but later made history as the first African-American to lead Louis Vuitton.
Abloh is survived by his wife, Shannon, and their two children.
A statement on his Instagram page described him as a "fiercely devoted father, husband, son, brother, and friend".
