Moore is a former pupil of Sylvia Young Theatre School. The BBC fly-on-the-wall documentary series Paddington Green followed her as she tried to win a scholarship and attended auditions. Moore was also a professional ice-skater, and a model in Paris. When Moore was 18, she joined The Prince's Trust.
Moore was diagnosed with cancer, specifically Hodgkin's Lymphoma after discovering a lump on the back of her neck whilst on set of filming Hotel Trubble. She has had treatment for this and is said to be free of cancer and recovering well. An edition of Newsround called “Dominique presents Living with Cancer - a Newsround Special” in 2011 described how she coped.
Moore has had roles in CBBC shows The Crust, UGetMe, Stupid!, Hotel Trubble and The Queen's Nose. She has appeared in some of the sketches on Little Miss Jocelyn. Moore has also appeared on the award-winning Horrible Histories from series 2, playing various roles, including Mary Seacole which her portrayal has gained her recognition from celebrities including Eddie Izzard, Adrian Lester and Tanya Franks. In May 2008 she appeared in the BBC Three show Barely Legal, while in 2009 she played Aretha in the CBBC musical comedy My Almost Famous Family.
Moore has appeared in Oliver! and played Young Nala in the West End production The Lion King at the Lyceum Theatre. She has also appeared in the West End in Annie and Whistle Down the Wind. ary. Dominique is currently appearing as Princess Karen in the 2011 Lyric Hammersmith Pantomime Aladdin.
In 1999 Moore recorded a version of the Cyndi Lauper hit “True Colours” for a Peugeot 406 commercial. She also sings the theme tunes for Hotel Trubble and The Crust.
After her experiences as a model, Moore moved on to fashion design and started her own label Anita Moore Designs.
Moore is a supporter of Action for Blind People.