The number of people on the Live Register for June rose to 452,882.
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The unemployment rate now stands at 13.4%, up from 13.2% in May.
The seasonally adjusted figure for June was an increase of 5,800.
The Irish National Organisation of the Unemployed has said Ireland urgently needs a coherent jobs strategy.
In the Dáil, Taoiseach Brian Cowen said the only way to create more jobs is to be more competitive.
Mr Cowen said the figures increased every June due to seasonal factors.
He said the increase this year was considerably less than the increase of more than 21,000 last year.
Labour Party leader Eamon Gilmore said there has never been more people unemployed in the State and that 300,000 more people are signing on since the 2007 General Election.
The Irish National Organisation for the Unemployed said that emerging from recession may make very little difference to unemployed people here and to those seeking their first job.
The organisation cited what it called the International Monetary Fund's ‘appalling vista’ that Ireland is likely to emerge ‘into a period of relatively modest growth potential and high unemployment.’
The organisation's spokesperson, Bríd O'Brien, said the latest Live Register figures again underlined the urgent need for a Government jobs strategy.
She said it must envision where the jobs of tomorrow will be and ensure that unemployed people are supported to take up the right education and training courses.
But Government ministers have insisted that job creation is a priority and that it has a strategy to deal with the difficulties of unemployment.
The Minister for Social Protection, Éamon Ó Cuív, said the recently-introduced Employer PRSI Incentive Scheme would help job-growth and counter the drift into long-term unemployment and welfare dependency.
In a statement, he said the scheme was focused on people who had been on the Live Register for six months or more.
Meanwhile, the Minister for Enterprise, Trade and Innovation, Batt O'Keeffe, said training programmes and extra places in further and higher education were re-skilling the workforce to take up new jobs in growth areas of the economy.
He promised that the Government would persist with its focus on the core recovery policies that will get people back to work.
Those policies are competitiveness, human capital, innovation, infrastructure, the green economy and trade.