As the news on the settlement emerged at the weekend, he also told employees in an email that Palo Alto, California-based Tesla was "very close to achieving profitability".
Tesla did not immediately respond to CNBC's request for comment.
Former SEC lawyers questioned the wisdom of Musk's latest tweet, but said it was unlikely to jeopardize the settlement, which prevents Musk from denying wrongdoing or suggesting that the regulator's allegations were untrue.
The judge doesn't have to accept the proposed settlement deal.
"This is not what a CEO should be doing", the "Mad Money" host said Friday. On Monday - after the settlement was reached - the shares surged 17 percent. "Granted it has only been three days, but it may have been sensible to ask him not to tweet anything related to the company until they had an opportunity to put in the policies, procedures and controls required by the settlement". "Maybe a 420M fine would have been more appropriate?" one Twitter follower said. "He wasn't vindicated, and it is needling at him".
And the name change is so on point!' Musk wrote in a tweet on Thursday, as a federal judge mulls his settlement with the SEC.
"Elon Musk, I don't give a f**k who's over at his house, leave that man the f**k alone", West yelled while standing on a table. "And it's going to make it much tougher to attract independent directors to join the board".
United States district judge Alison Nathan had earlier in the day requested Musk and the SEC send an explanation of the deal in a joint letter by 11 October, justifying why it was fair and in the public interest.
Musk is a bit too witty for his own good. The tweet could become problematic, given the SEC case.
Now, the Tesla CEO trolled SEC on Twitter.
Those tweets claimed that Musk had "funding secured" to take Tesla private at $420 a share, sending the company's stock briefly soaring and forcing a halt in trading.
The New York Times reported Tuesday that James Murdoch had been eyed by some board members as a potential replacement, though outside groups like proxy monitor Glass Lewis have voiced concerns about Murdoch's lack of relevant experience. Musk described the diver as a pedophile in a tweet that has since been deleted.
Production numbers on Tuesday showed the company finally meeting its promises on output of the Model 3 sedan, seen as crucial for the its long-term prospects while also fighting hard to overcome logistical issues with deliveries.