The president's tweet referred to the 2001 death of Lori Klausutis, a 28-year-old aide at Scarborough's office.
Police ruled that Klausutis' death was accidental and never suspected foul play.
Klausutis was found dead in Scarborough's district office in 2001. 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 is not the first time the president tweeted about Scarborough having a hand in the death of the intern 19 years ago.
Brzezinski also hit out at Trump for repeating the conspiracy theory and reminding the Klausutis family of their loved one's death.
"He's tweeting again, all sorts of insane things. once again tweeting conspiracy theories about Joe [Scarborough], falsely accusing him of murder, talking about the death of a young staffer in his congressional office years ago, and calling him unsafe to walk the streets", Brzezinski said on MSNBC's "Morning Joe" on Wednesday morning.
Trump often appeared on "Morning Joe" in 2015 and 2016 before he and the hosts became involved in their feud.
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Scarborough's wife and cohost Mika Brzezinski called Trump "sick" for pushing the theory. "You're a sick person", Brzezinski added. "Because he tells the truth, and he speaks clearly about his lack of interest and empathy for others and his lack of ability to handle this massive human catastrophe, the fact that it has made it worse and worse every day".
"TAKE DOWN TRUMP's ACCOUNT- the world world be safer".
Brzezinski demanded last week that Twitter CEO Jack Dorsey stop allowing Trump to "abuse" the platform by spreading conspiracy theories. How about that jury Forewoman, does anybody think that was fair.
"He's once again tweeting conspiracy theories about Joe, falsely accusing him of murder, talking about a death of a young staffer in his office years ago, and calling him unsafe to walk the streets", Brzezinski said on the air.
After the present, Brzezinski took to Twitter in an try to do what others have tried and did not do: Get the platform to ban the president.
Another clue to Trump's possible intentions came when Trump ally Florida GOP Rep. Matt Gaetz, who spent time with Trump at Camp David this weekend, tweeted Tuesday: 'Roger Stone should not spend one day in jail'.