The Fox News host said Stephens should not have taken at offence at being called a bedbug, saying: "If you can't take a little baby bedbug 'tap' you don't belong offering your commentary."
Hannity claimed Cohen told him he made hush payments without President Trump's knowledge.
U.S. Representative Alexandria Ocasio-Cortez's recent doomsday warning was rejected by the White House press secretary.
"Donald Trump has made a promise to the American people," Senator Lindsey Graham said. "He's going to secure our border."
"Sean Hannity and a few other people screamed fire. The president then fell in line behind Sean Hannity."
"I'm very busy with my office and traveling and doing my work," Melania Trump said.
No mention was made of Kushner's alleged ties with the Saudi prince.
"Where are the federal cases against any of these people?" Hannity said, referencing a long list of Democrats and Trump haters.
Words came in Hannity's opening monolog on Thursday.
Hannity dubbed Election Night a "massive win" for President Donald Trump.
The Trump campaign said in a statement that Hannity and Limbaugh were "longtime friends" of the president and "strong advocates" for his "America First" agenda.
Various Fox News hosts blamed Democrats for creating a dangerous political environment.
"I have been asked by so many people that I respect, please—the great Lou Dobbs, the great Sean Hannity, the wonderful great Jeanine Pirro," Trump told The Hill.
Hannity, who regularly speaks to President Donald Trump, said Mueller's investigation was "rocking our system of justice to its very core."
"None of the dossier, to Fox News's knowledge, has been disproven," Shep Smith said.
Donald Trump's dismal popularity ratings in Europe prompted Steve Bannon and Sean Hannity to work together to help boost the president's image among populist circles.
Trump told Fox & Friends that Cohen did only "a tiny, tiny little fraction" of his legal work.
"This has been a very weird day in the news."
Michael Cohen's counsel "was clearly more concerned about protecting the president than protecting Sean Hannity," Stormy Daniels's attorney said.