Security agents tackled David Cronin after he announced a citizen's arrest of Lieberman, who was in Brussels to attend a meeting with European Union ministers, Israeli English-language newspaper Haaretz reported.
It was not the first time the Irish journalist tried to carry out a citizen's arrest of a high-ranking public official.
Last year, Cronin's press credentials were temporarily revoked after he attempted to arrest former British Prime Minister Tony Blair for what he said were crimes against the people of Iraq, Arutz Sheva, Israel's Zionist news network, reported.
Cronin has written for the Economist and is a member of the Brussels press corps, Arutz Sheva said.
He is the author of the book "Europe's Alliance with Israel: Aiding the Occupation."
Yoel Mester, a spokesman for the Israeli mission to the EU, has called Cronin "a dedicated anti-Israel activist."