6 May – The 32nd Dáil elected a Taoiseach and a new Cabinet was announced.
9 May – A gathering of naturists at Curracloe Strand, County Wexford was criticised by the Mayor of Wexford, councillor Ger Carthy. The Irish Naturist Association stated that no-one asked the men and women to leave.[5]
13 June – The Ireland football team played their first match, against Sweden, at the Euro 2016 football competition.[6]
21 June – The US Vice President Joe Biden arrived in Ireland for a six-day visit with his brother and sister, daughter, and five grandchildren. His itinerary included visits to his ancestral counties of Louth and Mayo, the neolithic monument at Newgrange in County Meath, and engagements in Dublin including meeting President Michael D. Higgins and Taoiseach Enda Kenny. Biden visited Ireland a number of times previously in a private capacity.[7]
17 April – Ellis O'Reilly becomes the first female gymnast to qualify for an Olympics representing Ireland.[25][26]
22 June – golfer Rory McIlroy announces his withdrawal from the Olympics.[27]
23 June – golfer Graeme McDowell announces his withdrawal from the Olympics, citing the expected birth of his second child.[28]
28 June – golfer Shane Lowry announces his withdrawal from the Olympics.[29]
Event
4 August – the Irish Examiner reports that an Irish male boxer tested positive for a banned substance on the eve of the Olympics.[30] He is later named as Michael O'Reilly.[31] O'Reilly becomes the first athlete to test positive for drugs at the 2016 Olympics.[32]
7 August – Michael O'Reilly's legal team announces it is to officially appeal the boxer's proposed suspension following a failed drug test.[33]
8 August – boxing captain Paddy Barnes, who medalled at the previous two Olympics, loses his opening bout to a Spaniard in a shock result.[34]
9 August – boxer Michael O'Reilly is ruled out of the Olympics after announcing he is no longer contesting his proposed suspension and admitting to taking a supplement that may have contained a banned substance.[35][36]
14 August – Minister for Transport, Tourism and SportShane Ross flies to Rio de Janeiro to meet with OCI president Pat Hickey in a bid to have Hickey permit an independent member be included on the OCI's own inquiry into the ticketing fiasco.[37][38]
15 August – defending lightweight champion Katie Taylor loses her Olympic crown to a Finn in her opening bout.[39]
16 August – boxer Michael Conlan, a favourite for the gold medal, loses his opening bout to a Russian in contentious circumstances.[40]
17 August – OCI president Pat Hickey is arrested naked in a hotel room in Rio de Janeiro and charged with three crimes.[citation needed]
21 August – the 2016 Summer Olympics concludes, as more IOC officials are sought by Brazilian police and the organisation's former president remains locked up in a Rio de Janeiro jail.[43][44]