Minister Richard Bruton says he's "very confident" a three-party coalition can work.
The Communications, Climate Action and Environment Minister says the experiences of his brother John - who led the 'Rainbow Coalition' in the mid-90s - show such a coalition can work.
Minister Burton was speaking ahead of tomorrow's final results from the Fine Gael, Fianna Fáil and Green Party votes on the programme for government.
If the parties approve the deal, it's expected that Micheál Martin will then be appointed as Taoiseach on Saturday.
Minister Bruton told The Pat Kenny Show he believes it's the "right government at the right time".
He observed: "It's a unique opportunity to get some of the things right for the long-term.
"We were in a three party coalition when my brother was Taoiseach - we had Democratic Left, Labour and ourselves. Many people said 'you'll never be able to get along with Democratic Left'.
"In fact, the three-party became a much more solid approach - if tension grew between two, often the third could diffuse it."
He said he's "very confident" such a coalition can offer stability while also doing "very exciting things".
Speaking about his own portfolio, Minister Bruton said the next government will have to 'enhance' the climate plan he put forward in order to meet new EU targets.
He said: "Sitting down with the Greens and sifting through ideas at a time when we needed to lift our ambition was the appropriate thing to do.
"Everyone recognises that this is going to be challenging for the country... but also if we make these changes our enterprises will be more resilient, more competitive... our home's will be warmer and more resilient in the face of the challenges.
"This is change that often pays for itself."
He pointed to refitting homes and offshore wind as some of 'good work to be done' in the coming years.