Dov Hikind and Joseph Saladino, a YouTube celebrity working for Congress, have registered the suits.
Both cite a recent ruling against Donald Trump, which mentioned he was breaking the legislation by blocking critics on the social media platform.
The men state the legislation should apply to all politicians.
Ms. Ocasio-Cortez’s office has not yet answered on the lawsuits. Her Twitter account has 4.7 million followers.
Earlier this week, a New York court announced that President Trump was breaking free speech laws by blocking his critics on Twitter.
“The First Amendment doesn’t allow a public official who utilizes a social media account for all manner of official purposes to exclude individuals from an otherwise‐open online dialogue as a result of they stated views with which the official disagrees,” the judgment read.
In keeping with Mr. Hikind’s lawsuit, the congresswoman – generally recognized by her initials AOC – blocked him after he criticized her and her political beliefs.
The suit alleges that Mr. Hikind, “a staunch supporter of Jewish values,” was blocked “purely due to his speech in support of Jewish values and Israel.” This restricted Mr. Hikind’s participation in “a public forum,” it states.
Most lately, he criticized her when she tweeted that the US government was running “concentration camps” on the border with Mexico.