Sweeney has won a number of awards including the 'In The Tradition' award and the 'Wiltshire Folk Association Young Folk Award', which he won for two years in succession. He was also a nominated in the 2004 BBC Young Folk Awards. In 2007 he won one of five BBC Performing Arts Fund bursaries to help him start his musical career. Sweeney was nominated for the 'Musician of the Year' award at the 2013 BBC Radio 2 Folk Awards and won this award at the 2015 BBC Radio 2 Folk Awards.
