Barton played the 2013 Australian Open Wildcard Playoff defeating Thanasi Kokkinakis and Nick Kyrgios.

[3] Barton defeated Croatian Ivo Karlović 6–7(0) 7–6(5) 7–6(5) at the Apia International Sydney qualification, Then beat Tatsuma Ito 7–5 6–1.

Barton won his first ATP Challenger Tour Title in West Lakes defeating the number 2 British player James Ward in the final 6–2 6–3.

In the main draw he beat Steve Johnson first round 6–3 3–6 6–3, this was his first ever ATP Tour level win.

He then lost second round to top seed and world number 6 David Ferrer in straight sets.

[6] In the main draw, Barton recorded his first ever grand slam victory over Frenchman Albano Olivetti in 5 sets 6–7(7) 7–6(5) 6–3 6–7(5) 14–12.