Earlier on Wednesday, Brzezinski called Trump's latest tweet about her husband, Joe Scarborough, "sick".
The move was made in response to Trump in early May again evoking a conspiracy theory on Brzezinski's co-host and husband, Joe Scarborough, and the 2001 death of an intern.
On May 12, Trump tweeted for the authorities to reopen the investigation.
Can psychopath Joe Scarborough's low grades walk the streets?
On Wednesday, Trump repeated the call, writing, "Open Cold Case!" "You're a sick person", Brzezinski added.
"She then followed it up with, "@jack At what point is @Twitter a part of this?
Trump tweeted: 'I said NO to a deal, Lou.
She said the president's tweets were merely a ploy to deflect from the Covid-19 pandemic because her husband "speaks the truth" about Mr Trump's "lack of ability to handle this massive human catastrophe".
It was an apparent attempt to suggest different standards of justice for his friends and his enemies - although the death dates back to 2001, when Scarborough was a conservative Republican congressman. However U.S. District Judge Amy Berman Jackson ruled in April that although the forewoman had made social media postings critical of Trump and had once run for Congress as a Democrat, the claim that she could not be impartial about Stone 'is not supported by any facts or data and it is contrary to controlling legal precedent'.
Lately, Scarborough has told the president to " turn off the TV" and start focusing on solving the crisis, while also suggesting that he should let Vice President Mike Pence take the reigns so he can "get checked out." . 'Did he get away with murder? Why did he leave Congress so quietly and quickly?
Miss Klausutis's death was ruled an accident, there was never any suspicion of foul play, and Mr Scarborough was not in Florida at the time. A total nut job!'
However, the case the president is apparently referring to is not a cold case.
She questioned the President about how could he subject the family to a congressional aide. Her dying lengthy since was dominated unintentional, with a health worker that figuring out a coronary heart situation brought on her to move out and hit her head on a desk.
This was said on air during the Morning Joe show on the channel MSNBC.
Mr Trump was the most high-profile supporter of the bogus "birther" theory that former President Barack Obama was born in Kenya and ineligible for the presidency.