Burden qualified for the first round of the 2013 Wuxi Classic to begin the 2013–14 season, but lost 5–2 to Ali Carter in the opening round.&lt;ref name="2013/14"&gt;&lt;/ref&gt; He saw off three players to reach the first round of the Australian Goldfields Open and then beat Michael Holt 5–2 to match his best ever performance in a ranking event. In the last 16 he lost 5–3 against Mark Davis. At the European Tour event, the Gdynia Open, Burden won four matches but was then defeated 4–3 by Sam Baird in the quarter-finals. He finished 34th on the Order of Merit, nine places outside of qualifying for the Finals. Burden got through to the second round of the China Open courtesy of Tony Drago's withdrawal and then lost 5–3 to Jimmy White.