Varadkar, 38, at the end of his two-day visit to Northern Ireland, attended a gay Pride breakfast at the Northern Whig pub in central Belfast ahead of the main Pride parade.
Northern Ireland is the only place in the UK where a ban on same-sex marriage still exists.
"I am not here to unsettle anyone but I am here to show my support and the support of my government for equality before the law for all citizens no matter where they reside," Varadkar said.
He also met Garda -- the Police Service of Northern Ireland and some gay officers from England who were parading in uniform at the Pride parade.
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Varadkar said he did not raise the issue with Democratic Unionist Party (DUP) leader (Arlene Foster) when he met her yesterday, but that previously he advised her of his views.
"My reason really for being here is just to express solidarity, to express my support and that of my government, for individual freedom and equality before the law for all citizens. We would do this in any part of the world," Varadkar added.