The tax would depend on the investment returns made while the person was a New Zealand resident.
That was a major simplification over the existing regime which sees investment gains taxed under foreign investment fund rules.
However people who had complied with those rules would still have the option of paying tax under them when the new regime comes into effect in April next year.
In a concession to thousands of people who had paid the wrong amount or no tax on transfers, those who made a lump-sum withdrawal or a transfer to another superannuation scheme between January 1 2000 and March 31 2014, would have the option of paying tax on 15 per cent of the lump sum amount.
However superannuation advisory firm NZ QROPS has warned that with a three to four month processing time for transfers from UK pensions to qualifying New Zealand schemes, time was running out to take advantage of the concession.
NZ QROPS estimates an expat Brit with $100,000 in a UK pension scheme who had been living in New Zealand for 11 years would avoid almost $7000 tax by taking advantage of the concession.
Meanwhile, the bill also contains a number of amendments which tighten up the tax breaks for mining companies prospecting and developing gold, silver and iron sand extraction operations.
It also includes changes "to ensure that the income tax rules cater for the rebuilding activity now taking place in Canterbury" Ms Goodhew said.
The bill passed with the support of all parties other than Hone Harawira's Mana Party.