Ďuriš joined Banská Bystrica from ŠK Petrochema Dubová when he was 14. After three years playing for youth squads he made his debut in the Slovak top-level football league featuring in his club's 2–0 defeat against Ružomberok on 9 November 2005. During five seasons for Dukla he scored 18 goals in 114 matches overall.
On 17 January 2018, he joined Anorthosis Famagusta on a half-season loan. On 6 July 2018, the transfer became permanent for an estimated fee of €600,000.[3]
He scored his first two goals after 20 matches against Switzerland, on 13 November 2015 during a 3–2 victory, with third goal scored by Róbert Mak. Four days later, on 17 November, he netted third goal of a game, during a 3–1 victory over Iceland, with first two goals provided by Mak, again.
Ďuriš scored his fourth goal against Germany in a friendly match in Augsburg, giving Slovakia the 2–1 lead in the pre-EURO 2016 friendly match, which was his 25th cap. Slovakia eventually defeated Germany 3–1.[5] Duris also scored the winning goal for Slovakia in extra-time against Northern Ireland, sending Slovakia to UEFA Euro 2020, where they will be placed in Group E.[6]
On 18 May 2021, Ďuriš was included in the final 26-man squad to represent Slovakia at the rescheduled UEFA Euro 2020 tournament.[7]
On 24 August 2021, national team manager Štefan Tarkovič announced Ďuriš's retirement from international duties. Ďuriš retired with 59 appearances and 7 goals, including appearances at two European Championships.[8]