In the first round of the 2013 World Championship, Burnett came through a deciding set against James Hubbard and a partisan crowd to set up a clash with Andy Hamilton. Burnett won the first set, but then missed five darts to go 2–0 up and went on to lose 1–4. He played in his second World Cup of Darts with Mark Webster and they reached the semi-finals where they faced the number one seeds of Phil Taylor and Adrian Lewis. Webster lost to Taylor, but Burnett defeated Lewis 4–3 meaning a doubles match was needed to settle the tie. Burnett missed one dart at double ten to complete a 140 finish for the match and Wales would lose 4–3. Burnett beat Webster 9–2 in the third round of the UK Open, but then lost 9–6 to Steve West in the subsequent round.