In 1945, Moore was elected a fellow of the
Linnean Society of London. She was appointed a
Member of the Order of the British Empire in the
1959 Queen's Birthday Honours, and in 1963 the University of Canterbury gave her its DSc for her Hebe research. A fellow of the
Royal Society of New Zealand from 1947, she was awarded its
Hutton Medal in 1965. In the same year she delivered the
Leonard Cockayne Memorial Lecture. In 1974 she was awarded the
Sir Ernest Marsden Medal for Service to Science by the
New Zealand Association of Scientists. The Mere that Moore donated for the prize is housed at the Allan Herbarium at Landcare Research, Lincoln. Lucy Moore Memorial Park in
Warkworth is named after her. The New Zealand native grass species
Festuca luciarum is named after Moore and her fellow botanist
Lucy Cranwell. In 2017, Moore was selected as one of the Royal Society Te Apārangi's "
150 women in 150 words", celebrating the contributions of women to knowledge in New Zealand. ==Authority abbreviation==