The Justice Minister's told senior members of An Garda Siochana that it's essential ports and fuel depots remain open and accessible.
Jim O' Callaghan says the Government's aware of the pressures facing people from rising fuel prices, but democracy "cannot be dictated" by an unelected group, whose actions are damaging the public.
The Taoiseach has also confirmed that Gardaí may have to intervene to clear fuel depots and major roads if protesters continue to block them.
It comes as the blockade of the fuel depot in Lough Atalia in the city is ongoing this evening.
Earlier, they pledged that there'll be 'no oil in or out of Galway' until the Government acts on the high prices.
Meanwhile, the head of Fuels for Ireland earlier claimed protesters need a 'reality check' after blocking the country's fuel depots.
As well as Lough Atalia, Foynes in Limerick is also blockaded - and that's the biggest fuel port in the country.
At a press conference this morning, the Taoiseach described the situation as unacceptable and hurting ordinary people - while Junior Transport Minister Sean Canney said protestors were holding the country to ransom.
James Varley and Saoirse Duhan have been speaking to protestors to get their reaction.