The opposition party said the new tax would hurt those on lower and middle incomes and social welfare the most.
Party leader Gerry Adams, a TD for Louth, said a boycott would not work though.
"This family home tax, the brainchild of Fianna Fáil, gives the State unprecedented powers to collect it. The financial implications for households are very serious.
“It will especially punish those on low and middle incomes, social welfare recipients and the disabled.
“It doesn’t take into account ability to pay, people’s mortgages, the amount they paid in stamp duty, and negative equity. This is a tax too far," said Deputy Adams.
He said that his party's campaign will involve, public meetings, the distribution of information leaflets, meetings with interested NGO’s, community and voluntary groups.
He continued: "We also intend to introduce a bill to reverse the Property Tax before the summer recess and we are urging citizens to lobby their local politicians, particularly government TDs and councillors to support the bill.
"The only way to stop this tax is to repeal the bill. No other measures such as boycott or refusing to value your home will work."