The previous act introduced minimum capital ratios and credit ratings for NBDTs.
"Last year we implemented the first stage of prudential regulation for non-bank deposit takers - bringing in rules around credit ratings, risk management, governance, capital, related party exposures, and liquidity," English said in a statement. "This bill completes that regulation."
Changes in ownership will have to be okayed with the central bank under the new regime.
"The Reserve Bank considers that open and unchecked changes of ownership could result in undesirable ownership structures and may present a significant risk to depositors of the NBDT, with possible spill over impacts to depositors in other NBDTs," Toby Fiennes, head of prudential supervision at the RBNZ, said in the regulatory impact statement.
"Restricting changes in ownership will prevent unsuitable changes, while still allowing changes in ownership to occur at a level that will allow consolidation and strengthening of the NBDT," he said.
According to the cabinet document, the central bank will also be able to charge licence fees in the future, though this won't be applied as NBDTs go through the transition period.
The legislation will introduce stiffer penalties for failing to comply with regulatory requirements. The offences will be graded according to their severity, up to a maximum fine of $2 million for an entity, and individual fines of up to $200,000 and/or 18 months imprisonment, the cabinet paper said.