There have been 39 cases of monkeypox so far in Ireland, according to the HSE's Health Protection Surveillance Centre.
Its latest weekly report, up to 29 June, states that all cases in Ireland are male.
Where sexual orientation is known, all cases self-identify as gay, bisexual or other men who have sex with men (gbMSM).
The HPSC says the majority of cases have been managed in the community.
"A small number of cases have been hospitalised for clinical care of monkeypox infection and there have been no deaths."
Given the increasing number of cases detected internationally, the HPSC says that further cases are expected to be seen in Ireland in the coming weeks.
It comes as the World Health Organization called for "urgent" action to prevent the spread of monkeypox in Europe, noting that cases had tripled there over the past two weeks.
"Today, I am intensifying my call for governments and civil society to scale up efforts ... to prevent monkeypox from establishing itself across a growing geographical area," WHO Regional Director for Europe, Hans Henri Kluge said.
"Urgent and coordinated action is imperative if we are to turn a corner in the race to reverse the ongoing spread of this disease."
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Since early May, a surge in monkeypox cases has been detected outside West and Central African countries where the viral disease is endemic.
Ninety percent of all laboratory-confirmed cases registered worldwide - or 4,500 infections - are in Europe, Mr Kluge said.
Thirty-one countries and areas have now reported infections.
Mr Kluge said Europe remains at the centre of the expanding outbreak and the risk remains high.
The WHO does not think the outbreak currently constitutes a public health emergency of international concern but will review its position shortly, he said.
Most monkeypox infections so far have been observed in men who have sex with men, of young age, chiefly in urban areas, according to the WHO.
It is investigating cases of possible sexual transmission but maintains the disease is primarily spread through close contact.
Symptoms include new and unusual spots, ulcers or blisters anywhere on the body; fever; headaches; muscle aches; chills; fatigue; and swollen glands.
Most people have a mild illness, with recovery within three weeks, but in some cases severe illness can occur and sometimes results in death.
In the UK, 1,076 cases of monkeypox were confirmed as of 23 June, including 1,035 in England, 27 in Scotland, nine in Wales and five in Northern Ireland.
There were 498 confirmed cases in France as of 30 June, while Spain had confirmed 800 cases by 27 June.
Germany had reported 1,054 cases up to today, while Italy had detected 192.
