Burns won three matches in the qualifying for the Australian Goldfields Open, before narrowly losing 5–4 to Mark Joyce in the final round.&lt;ref name="2014/15"&gt;&lt;/ref&gt; The first event he could reach this season was the International Championship and he beat Dominic Dale 6–5 and Craig Steadman 6–3 to reach the last 16 of a ranking event for the first time. He would be defeated 6–2 against Michael White, but lost two of the frames from 59–0 and 61–0 ahead which Burns felt flattered the scoreline. However, he failed to build on this during the rest of the season as he was eliminated in the first round of both the UK Championship and Welsh Open and could not qualify for any other event. Burns could also only win one match all year in the minor-ranking European Tour events.