The changes would apply to the trustees or managers of an occupational pension scheme "of a prescribed description", to be defined by the government in regulations.
Scheme trustees or managers could be required to review the exposure of the scheme to climate change risks, to assess the impact of those risks on the scheme's assets and to produce a strategy for managing the scheme's exposure to those risks. They could also be required to assess the potential contribution of their investments to climate change.
They could also be required to set and monitor progress against targets relating to the scheme's exposure to climate change risks, and to report on that progress.
The amendment defines "effects" of climate change to cover both risks and opportunities arising from climate change, including the risks arising from steps taken by governments or regulators to mitigate the impact of climate change.
Writing in The Telegraph, outgoing Bank of England governor Mark Carney and work and pensions secretary Therese Coffey said that pension funds "have the opportunity to lead the way in how they set their long-term agenda".
"[Pension funds'] investment decisions have the power to channel funding towards companies with a plan to make the transition to net zero," they said.
"Requiring pension schemes to report on how they are considering climate change in their governance, strategies, risk management and targets will encourage financial flows towards addressing the threat of climate change to all our futures, and improve the health of our economy longer term," they said.