The number of job advertisements online and in newspapers rose 2.3 per cent last month, continuing the trend of the three previous months.
ANZ, which monitors job ads as a leading indicator of the labour market, said the trend boded well for continued employment growth.
Statistics New Zealand's household labour force survey recorded employment growth of 0.9 per cent in the March quarter, making 3.7 per cent for the year.
"We expect the unemployment rate to drop below 6 per cent over coming months. Only rising labour force participation a good thing has prevented it doing so already," said ANZ economist Sharon Zollner.
Internet job advertising rose a seasonally-adjusted 2.9 per cent last month to be 21 per cent higher than a year ago.