Later Wednesday morning, Trump teased a "big action" regarding social media but declined to elaborate on what that could be.
Trump's Twitter outburst followed an unprecedented decision by the platform on Tuesday evening to apply a fact-checking label to Trump's content for the first time.
The label, which Twitter has designed to combat misinformation and unverified claims, linked to a curated page with links and summaries of articles describing how Trump's claims on mail-in ballots are unfounded.
Shortly after the labels were applied, Trump took to Twitter to claim the company "is interfering in the 2020 Presidential Election" and "stifling FREE SPEECH." He added that he "will not allow it to happen!"
But Twitter's fact-checking decision raised further questions about whether it would apply the same treatment to Trump's misleading claims about Lori Klausutis, the aide to former Rep. Joe Scarborough, a prominent critic of Trump. In recent days, Trump has leveled unsubstantiated allegations at Scarborough suggesting he was responsible for Klausutis's death. The claims have been undermined by the official autopsy, which found Klausutis had an undiagnosed heart condition. Klausutis's husband, Timothy Klausutis, reiterated that in a letter to Twitter CEO Jack Dorsey last week, saying that Trump's claims denigrated the memory of his wife for perceived political gain.
Twitter has told CNN Business that it will not be removing the tweets about Scarborough.
Trump's options limited
Trump's options for cracking down on social media are somewhat limited, legal experts say.
The most "obvious" course of action, according to Andrew Schwartzman of the Benton Institute for Broadband and Society, would be for Trump to seek changes to the Communications Decency Act, which shields tech platforms from legal liability for a wide range of online content.
There has been an ongoing push, led by the Justice Department and Republicans in Congress, to do just that. Changing the law would require building broad consensus in a deadlocked Congress. The Trump administration could not go it alone. A new law that specifies how tech companies must police their platforms could raise questions about the law's constitutionality.
On Wednesday, Federal Communications Commission member Jessica Rosenworcel, a Democratic-affiliated commissioner on the five-member commission, appeared to allude to that when she tweeted the text of the First Amendment.
Trump could pressure agencies such as the FCC and the Federal Trade Commission to take action against social media companies. But the agencies have previously resisted efforts by the White House to transform them into arbiters of political speech, and experts say the FCC lacks jurisdiction anyway over Twitter and Facebook.
Privately, officials from the FCC and FTC have expressed concerns about a prior proposal from the White House to appoint those agencies as direct regulators of political content on social media.
Meanwhile, major tech industry players remain under federal and state antitrust investigation. But antitrust probes tend to be highly technical and are usually limited to the impact of corporate conduct on competition in the marketplace.
David Vladeck, a Georgetown University law professor and former top FTC consumer protection official, said any government push to restrict how private platforms moderate their websites could raise First Amendment questions.
"This is just another example of Trump thinking that the Constitution makes him a king, but it doesn't," he said.
Long-standing complaints from conservatives
Trump and conservatives have long complained that tech platforms algorithmically censor right-wing voices. The claims derive from a perception that Silicon Valley's largely left-leaning workforce has designed social media products to discriminate against conservatives, though the companies strongly deny the allegations.
Some executives, like Facebook CEO Mark Zuckerberg, have sought to accommodate conservative voices by meeting with them privately, and even meeting with Trump himself.
Trump has previously suggested that the US government could take action against media he dislikes. Last year, the White House set up a website to solicit complaints from the public about tech companies' perceived political bias, and Trump has called for an examination of NBC's television license, even though it does not have one.
Earlier this month, Trump tweeted: "The Radical Left is in total command & control of Facebook, Instagram, Twitter and Google," and promised, without specifics, that his administration would "remedy this illegal situation." Following that tweet, The Wall Street Journal reported that Trump has considered establishing a White House commission to study allegations of conservative bias.