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The UMR poll was commissioned by a group of more than 40 organisations, including unions, social service providers, and kaupapa Māori groups.
It found approval for increasing income support was largely consistent across salary groups, age ranges, renters and owners; and across the political spectrum.
There was a majority of support by voters for the four major parties, led by Greens' supporters at 89 percent in favour.
"This poll shows that ensuring liveable incomes for all would be a popular move for the government, across the board, as well as the right thing to do," Janet McAllister from Child Poverty Action Group said.