Henri Matisse is the sixth of seven foals of Immortal Verse (Pivotal), a Group 1 winner in England and France whose best wins came in the Gr.1 Coronation Stakes and the Gr.1 Prix Jacques Le Marois. He is the third Group winner she has produced and the second to win at Group 1 level. She is also the dam of Tenebrism (Caravaggio), her fourth foal and a Group 1 winner in England and France, with the Gr.1 Cheveley Park Stakes and the Gr.1 Prix Jean Prat, and of Statuette (Justify), who was unbeaten in two starts and won the Gr.2 Airlie Stud Stakes.

Second dam Side Of Paradise (Sadler's Wells) was a Listed winner in France and second in the Gr.3 Prix Fille de l'Air, and Immortal Verse is her best runner. Among her four other winners is Go Lovely Rose (Pivotal), the dam of the sire Roseman, a Listed winner and runner-up in the Gr.1 Queen Elizabeth II Stakes. Side Of Paradise is a full sister to Flowerdrum, winner of the Listed Rose Bowl Stakes.

Third dam Mill Princess (Mill Reef) won once and has ten other winners. They include the champion and multiple Group 1-winning sire Last Tycoon (Try My Best), The Perfect Life (Try My Best), winner of the Gr.3 Prix du Bois, placed at Group 2 level and the dam of the Group 3 winner Rabah and the Group 1-placed Najiya, and the sire Astronef (Be My Guest), who won the Gr.3 Goldene Peitsche twice. Her black-type descendants include the top-level winners Hermosa, Hydrangea and The United States, all by Galileo, and Tie Black (Machiavellian).

Another daughter of Mill Princess, the Listed-placed winner Save Me The Waltz (Kings Lake), produced Valentine Waltz (Be My Guest), winner of the Gr.1 Poule d'Essai des Pouliches, and Sense Of Style (Thunder Gulch), winner of the Grade 1 Matron Stakes in the US. Tie Black is out of her daughter Tender Is Thenight (Barathea), and her daughter Zelda (Caerleon) is the dam of the Group winners Zipping, Nipping and Zelding.

Immortal Verse has a yearling colt by Justify and was covered again by Justify in 2024.