Musk's latest tweets come after the Dilbert creator suggested white Americans "get the hell away from Black people."
Cartoonist Scott Adams was responding to a poll by the conservative Rasmussen Reports that said 26% of Black respondents said they disagreed with the statement "It's OK to be white."
The move to drop the cartoon was "not a difficult decision", the Plain Dealer newspaper in Ohio told its readers on Friday.
Musk, in replies to tweets about the controversy, the Tesla and Twitter chief executive said the media had long been racist against non-white people but are now "racist against whites & Asians."
"Maybe they can try not being racist," Musk tweeted.
The Los Angeles Times, the Washington Post and USA Today were among newspapers that canceled the cartoon "Dilbert" after its creator Scott Adams said Black Americans were a hate group and posted racist comments on his YouTube channel on Wednesday.
In response to an account that said white victims of police violence get a fraction of media coverage compared to Black victims, Musk said the coverage is "Very disproportionate to promote a false narrative."
Musk did not immediately respond to a request for comment.
Musk's views on social issues have been increasingly under the microscope since he took over Twitter in October.
He has sparred with civil rights groups over Twitter's level of protection against hateful content and the reinstatement of some accounts that previously had been suspended. Some advertisers have left the platform over concerns about brand safety, and Twitter has rolled out some new controls for ad placement.