Continuous is the third foal and second winner of Fluff (Galileo), who won a maiden over a mile at Navan on her debut. She is a full sister to the champion two-year-old filly Maybe, winner of the Gr.1 Moyglare Stud S., the Gr.2 Debutante S., the Gr.3 Silver Flash S. and the Listed Chesham S. and third in the Gr.1 1000 Guineas.

Second dam Sumora (Danehill) won twice, including a Listed race, and bred five winners. She is the dam of Maybe, who in turn produced Saxon Warrior (Deep Impact), winner of the Gr.1 2000 Guineas and the Gr.1 Racing Post Trophy and now a sire, and his full brother Drumroll, winner of the Gr.3 Gallinule S. Sumora also bred Promise To Be True (Galileo), a Gr.3 Silver Flash winner, second in the Gr.1 Prix Marcel Boussac and third in the Gr.1 Criterium International, and Barbados (Galileo), second in the Gr.2 Queen's Vase.

Third dam Rain Flower (Indian Ridge) never raced and bred five other winners, the best of them Dancing Rain (Danehill Dancer), winner of the Gr.1 Oaks and the Gr.1 Preis der Diana, who produced the dual Group 2 winner Magic Lily and the Gr.1 Grand Prix de Paris-placed Jalmoud, both by New Approach. Rain Flower is a half-sister to the Gr.1 Derby winner and sire Dr Devious (Ahonoora).

The family also includes the Gr.1 Irish Oaks winner Even So (Camelot) and the Gr.1 Takamatsunomiya Kinen winner and sire Suzuka Phoenix (Sunday Silence).

Fluff has an unraced two-year-old filly by Lord Kanaloa named Angelica Tree, as well as a yearling colt and a filly foal, both by Wootton Bassett.