Odundo was awarded the African Art Recognition Award by Detroit Institute of Arts in 2008, and the African Heritage Outstanding Achievement in the Arts award in 2012, together with honorary doctorates from the University of Florida (2014) and University of the Arts London (2016). She was appointed Officer of the Order of the British Empire (OBE) for services to art in the 2008 Birthday Honours and Dame Commander of the Order of the British Empire (DBE) in the 2020 New Year Honours for services to art and arts education. Odundo has been recognized as a significant player in contemporary ceramics, making her name a large contributor to African Art in the US during the 1990s. As observed by Augustus Casely-Hayford, “[She draws] on something of the wisdom and experience of the Leach, or a line borrowed from ancient European antiquity, to create a trans-global, trans-temporal visual system of her own; modern, yet simultaneously old, African yet resolutely European…” In 2008 she received the African Art Recognition Award from the Detroit Art Institute and in 2012 the African Heritage 40 Years Anniversary Award. In 2019 she received a Lifetime Achievement Award at the International Ceramics Festival and in 2020 was appointed DBE in the Queen’s New Year’s Honours list for Services to the Arts and Arts Education. In 2022 she was awarded an Honorary Doctorate of Arts by Anglia Ruskin University.