An opinion poll shows that just over half of those surveyed do not have confidence in the new Government to run the country.
The poll for Paddy Power/Red C shows that 52% of those surveyed do not have confidence in the new Government - which includes 20% of Fine Gael voters and 69% of those who voted for Independents.
However, 48% expressed confidence in the new Government.
Details of the poll, released on RTÉ's Today with Sean O'Rourke, also show that eight out of ten voters do not expect the Government to last more than two years, furthermore 45% believe it will not last a year.
Under half of all those surveyed (48%) believe Enda Kenny should step down now as leader of Fine Gael and as Taoiseach while a further 18% believe he should go within two years.
Just one in four of those surveyed believe he should stay a full term.
Meanwhile, Fianna Fáil's Micheal Martin sees his satisfaction rating fall back from the highs of the campaign but does still get better ratings than any of his competitive set - his rating among his own party supporters is however at its highest level ever.
The poll was conducted among 1,000 voters between 9 and 11 May, and the margin of error is plus or minus 3%.
Compared to the last Red C Poll taken in March just after the General Election, the findings show no change in support for Fine Gael or Fianna Fáil, when the 'Don't Knows' are excluded. The Independent Alliance dropped 2%.
The figures suggest that if an election were held now there would be little major change in the make-up of the Dáil.
Varadkar favourite to succeed Kenny
The poll suggests that Leo Varadkar is the voters favourite to succeed Enda Kenny as leader of Fine Gael with 32% of all voters and 39% of Fine Gael voters supporting him to replace the current taoiseach.
Mr Varadkar's support is relatively stronger among younger voters, those in more upmarket social groups and in Dublin.
Simon Coveney is the second favourite to succeed Mr Kenny with 25% support among all voters and 28% among Fine Gael voters. His support is much more polarised, with very strong support among older voters, but much weaker support among younger age groups.
