Hogan attended the political golf society event at a hotel in Galway, a city in the west of Ireland, on August 19, a day after the Irish government imposed new restrictions to tackle a surge in cases.
Among the new measures -- which were effective immediately -- attendance at indoor events was limited to six people, down from the previously allowed amount of 50.
The golf event was attended by numerous political figures, including Ireland's Minister for Agriculture Dara Calleary, who resigned last week.
Hogan's appearance at the event sparked an immediate media storm.
In a statement Wednesday, he said he deeply regretted his trip to Ireland and conceded the "controversy" was becoming too distracting and "would undermine" his work in the coming Brexit negotiations.
EU commission president Ursula von der Leyen said she respected Hogan's decision to resign, adding that she was "very grateful'" for his "tireless work" in the role.
Hogan initially resisted resigning when the golf dinner scandal, dubbed "Golfgate" in Ireland, first emerged.
On Tuesday, Hogan published a lengthy memorandum sent to von der Leyen, detailing the Irish restrictions and explaining how he adhered to them during his stay in Ireland between July 31 and August 21.
In the memorandum, Hogan admitted that it was "abundantly clear" the golf event should not have been held and he should not have attended.
Hogan said he received a negative coronavirus test result while in hospital in early August. In an interview Tuesday with Ireland's state broadcaster RTE News, he added he "did everything possible to ensure he was no risk to anybody."
Nevertheless, in the aftermath of the scandal, Ireland's leader Micheál Martin and Deputy Premier Leo Varadkar said they told Hogan to "consider his position."
"I think he should apologize, and I think he should be far more fulsome in his response to this and should understand the anger... across the country," Martin told Irish media on Friday.
In his resignation statement Wednesday, Hogan said he had "always tried to comply with all relevant Covid-19 Regulations in Ireland and had understood that I had met with all relevant public health guidelines, particularly following confirmation of a negative Covid-19 test."