English said the central bank already had a range of tools it could use to dampen house price inflation and stabilise the economy.
The Government needed to consider debt-to-income limits seriously because they were "a fairly significant tool", he said, Ministers would meet with the bank in the next few weeks to discuss the matter further.
English said he wanted to see the impact of recently-introduced tax changes on the housing market before committing to any further changes.
As of October 2015, any gains on houses bought and sold within two years are taxed regardless of the buyer's intent. And as of July, a withholding tax has been imposed on some sales of residential property. The impact of these measures is not yet clear, English said.
The Reserve Bank says the debt-to-income limits will target investors, but there are also concerns they could hurt first-home buyers.
If income-related restrictions were used, English said it was unlikely further measures could be introduced to counter-act any impact on first-home buyers. He was not keen on a stamp duty on offshore buyers of residential property.
"We don't completely rule things out, but a convincing argument hasn't been made for stamp duty," English said.