 Hamilton akatanga mwaka wa2013-14 ari pachinzvimbo chechi43, mushure mekudonha nenzvimbo gumi nerimwe mumatanho mwaka wapfuura. Akakwanisa kuenda kuWuxi Classic nekukunda Jamie ONeill 51. Panzvimbo iyi akakunda Ryan Day, Stuart Bingham naMark Williams kuti vasvike kumaquarter-final, kwaakarasikirwa ne3 × 5 naRobert Milkins. Mushure meizvi, Hamilton akakundikana kukwanisa kupinda mumakwikwi maviri evatatu anotevera; akarasikirwa ne 25 kurwisa Mark Joyce kuShanghai Masters, uye 36 kurwisa Paul Davison kuInternational Championship. Akakwanisa kuenda kuIndia Open nekukunda Michael Wasley 42, asi akabva mumutambo wake wekupedzisira 64 achipesana naMichael White. Hamilton akarasikirwawo ne 4x6 kurwisa Sean OSullivan mumutambo wekutanga weUK Championship. Akabva akwanisa kupinda mumakwikwi eGerman Masters, World Open neChina Open ayo airatidzwa paterevhizheni, uye akahwina 53 achipikisana naRoss Muir, Andrew Norman, naAlex Borg. Akasvika kumakwikwi e16 okupedzisira eGerman Masters neWelsh Open, kwaakarasikirwa ne35 kurwisa Ryan Day 24 kurwisa Ricky Walden zvichiteerana; Hamilton akarasikirwa mumutambo wekutanga weWorld Open neChina Open 35 kurwisa Mark Selby uye 45 kurwisa Neil Robertson. Hamilton akatamba mumakwikwi ese eEuropean Tour mwaka uno, uye akasvika padanho rechina pane ina dzacho. Kuita uku kwakamubatsira kupedza 23rd paEuropean Tour Order of Merit, uye akakodzera kuenda kuFinal, kwaakasvika ku16 yekupedzisira, asi akarasikirwa ne34 kurwisa Gerard Greene, kunyangwe achitungamira 30. Mwaka waHamilton wakapera apo akarasikirwa ne710 kuna Joe Swail mumutambo wechipiri wekugadzirira weWorld Championship. 