Mr Lawson criticised BBC’s “unrelievedly apprehensive” reports of the end of the Brexit transition period. The journalist accused Mr Snow, who presents various history shows, of conveying a tragic message when it came to Brexit.
Writing for the Daily Mail, Mr Lawson asked the question of “Why can’t the BBC Remoaners accept the war is over?”
On January 1, Mr Snow took to Twitter to lament Brexit at the transition period came to an end, labelling it a “tragedy”.
He tweeted: “75 years ago, after history’s bloodiest war, with its genocide and unimaginable brutality, a generation of survivors tried to prevent future war by building institutions to curb assertions of national sovereignty.
“The UK forged that. Now we help to dismantle it. Brexit is a tragedy.”
Mr Lawson hit back at the presenter referencing his Twitter handle – @thehistoryguy – and claiming “he seems to have little grasp of the subject, in this matter.”
He added that the “idea that peace in Europe has been guaranteed by the European Union — formerly the European Economic Community — is a familiar nonsense.”
Mr Lawson’s scathing review comes after Sir John Redwood hit out at the national broadcaster during a live interview on BBC News.
The Brexiteer MP shut down BBC News presenter Celia Hatton, after she said there was “a lot of anxiety” around Brexit.
Sir John added: “There are all sorts of links with the continent, and all sorts of ways of getting trade there.
“I think the system will work perfectly fine. We do the bulk of our trade with non-EU partners already and that has always worked very smoothly.
“So be positive! It is going to work, Dover and Calais want to keep their business going. All this nonsense about paperwork – we live in a digital age and electronic communication.”
Prior to his appearance on the programme Sir John sent a tweet urging news media to “cheer up” about Brexit.
He wrote: “Media reports no delays for trucks at Dover. Quite unlike the chaos of last month when we were in the single market. Time for the media to cheer up about the majority democratic decision of a great independent nation.”
Sir John was one of two Conservative MPs to not vote for the Brexit deal.
During his interview on the BBC, he admitted he was adding pressure to achieve better terms for the fishing sector.
He said: ”I was pressing the Government for a bit more good news on fishing but I’m very happy we are out. I think the British people made a wise judgment in 2016 and they were badly let down by the previous parliament.”