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Thunberg urged people to "read up" about climate science and what is being done - or not - to tackle the problem.
"We climate activists are being listened to - but that doesn't mean that what we are saying is translated into action," she told BBC Radio 4's Today show on which she was guest editor.
"It needs to be a big shift, and that's what we are waiting for - this tipping point," said Thunberg who has Asperger's syndrome and has also suffered from depression in the past.
Attenborough said it was depressing when governments in the US, Brazil or Australia indicated they were not taking any notice of what should be done.
Sir David Attenborough on location in Kenya while filming for Seven Worlds, One Planet.
"It needs a real electric shock - such as you have produced socially - to bring them to their senses, and let's hope that shock will go on," Attenborough told Thunberg on the Today show.
Thunberg has transformed over the past year from an unknown, solo campaigner to the figurehead of a global movement, winning a list of accolades and awards along the way, including being named Time Magazine's Person of the Year for 2019 for her work.
Her father Svante explained how he and his wife had changed their lives as their daughter found out about climate science.
He said Greta did not eat for three months, nor speak to people outside her family at one stage, but becoming a climate activist had enabled her to recover and become a happy teenager who "dances around" and "laughs a lot".
The family has since become vegan and no longer uses planes, instead sailing across the Atlantic this year to attend a UN climate action summit in New York and then sailing to Spain for December's global climate talks in Madrid.
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"I didn't do it to save the climate, I did it to save my child," said her father.
Both Thunberg and Attenborough called on politicians to ensure next year's UN climate talks in Scotland produce a successful outcome, with governments due to strengthen their national plans to combat climate change.
The annual conference in Madrid this month was viewed as disappointing, with large carbon-polluting countries resisting pressure to step up their targets to reduce emissions.
"We, and they, must do everything they can to make sure that it doesn't fail and that we succeed in bringing the science into the conversation," Thunberg said.