Mr Morrison did not deny the report when pressed about the leak, instead arguing trade and climate change are separate matters.
“It was about trade. It wasn’t about climate agreement – it was a trade agreement,” he told reporters.
“I do trade agreements and in trade agreements I deal with trade issues. In climate agreements I deal with climate issues.”
The Paris Agreement requires nations to set goals to limit global warming to 2C, preferably 1.5C.
Greenpeace UK executive director John Sauven said the leaked email showed the need to continue to apply pressure on Australia’s climate change policy.
“It’s a massive missed opportunity for Australia really not to take the lead on this issue and always be the laggard,” he told SBS News.
“I’m just frankly massively disappointed that the UK has allowed this to happen in a trade deal.”
In a statement to SBS News, the UK government denied its trade deal with Australia abandons that ambition.
“Any suggestion the deal won’t sign up to these vital commitments is completely untrue,” a spokesperson said.
“The UK’s climate change and environment policies are some of the most ambitious in the world, reflecting our commitment as the first major economy to pass new laws for net zero emissions by 2050.”
Trade Minister Dan Tehan also said Australia and the UK had agreed to work co-operatively on environmental issues, including emissions reduction.
“The Australia-UK Free Trade Agreement will deliver more jobs and greater access for businesses and workers in both countries, all of which will drive economic growth,” he told SBS News in a statement.
“Australia has remained consistent that all our FTAs should focus on international co-operation and meeting existing multilateral environment commitments.”
Australia has committed to reaching net zero emissions as soon as possible.
But the federal government has not updated its 2015 Paris pledge of reducing emissions between 26 and 28 per cent on 2005 levels by 2030 ahead of upcoming climate climate talks in Glasgow.
The position continues to prompt international scrutiny, as other countries such as the United States and the UK have ramped up the ambition of their own climate change policies.
Opposition Leader Anthony Albanese said Mr Morrison’s approach on climate change was holding Australia back.
“Scott Morrison is using up his diplomatic capital to have it removed from the agreement,” he told reporters.
“The Paris commitments are something that Australia has signed up to, but which Australia continues to sit in the naughty corner with the rest of the world.”
In August, US deputy climate chief Jonathan Pershing told a climate forum it would be “really helpful” for Australia to be more ambitious about reducing emissions.
Former UN secretary-general Ban Ki-moon separately labelled a failure to get credible targets a huge threat to Australia’s future prosperity and international standing.