The results of the poll are symbolic only. The referendum is not binding and the conservative government says it plans to carry on with its policy.
The government this year raised 4 billion New Zealand dollars by selling 49 per cent stakes in energy companies Mighty River Power and Meridian Energy and a 20 per cent stake in national carrier Air New Zealand.
It plans next year to sell a 49 per cent stake in a third power company, Genesis Energy.
Opponents say the programme is unnecessary and ideologically driven. The government argues it has helped it reduce foreign debt and allowed it to invest in hospitals, schools and roads.
Also Read
Opposition leader David Cunliffe said in a statement that New Zealanders always knew the sales were a terrible idea and the government should now call off its Genesis plans.
But Finance Minister Bill English said the referendum was a "costly stunt" and opponents would be disappointed after less than 30 per cent of all eligible voters cast a vote against the sales.