In Clarkson's column he accused her of sailing to the US on a £15 million yacht.
"How dare you sail to America on a carbon fibre yacht that you didn't build which cost £15million, that you didn't earn, and which has a back-up diesel engine that you didn't mention.
"We gave you mobile phones and laptops and the internet. We created the social media you use every day and we run the banks that pay for it all," he wrote.
"So how dare you stand there and lecture us, you spoilt brat."
Clarkson's daughter Emily took to Twitter to voice her anger over "middle age blokes" not speaking kindly about Thunberg.
Emily Clarkson retweeted a comment from Comedian John Bishop directed at Greta Thunberg which read: "You are an inspirational person. You have breathed life into the climate debate that was failing to get the attention it deserved. Whatever happens with the world it is a better place with you in it."
Emily shared the post, saying: "Wouldn't it be nice if all middle aged blokes could talk to and about Greta, the ballsy af teenager out there changing the world, like this."
Jeremy replied: "Wouldn't it be nice if she learned some manners."
To which Emily hit back: "A woman doesn't need to be polite to make a point."
