The congressman mocked the model's gown she wore to the White House Correspondents' Association dinner.
Joe Biden made a series of jokes during his speech at the event, mocking himself as well as his political opponents.
The president will join comedian Roy Wood Jr., who is hosting the event.
"If you're an American who's barely scraping by because of massive inflation, just know that your president thinks that's hilarious," tweeted one GOP member.
"The Daily Show" host's closing speech at the White House Correspondents' Dinner reminded U.S. journalists they had the "amazing" right to "speak the truth."
The president joked about himself, Donald Trump and Fox News in his skit Saturday at the White House Correspondents' Dinner.
Trevor Noah of "The Daily Show" is to host this year's event.
The comedian spoke to Newsweek ahead of the release of her new Netflix special, 'Joke Show,' to talk about the White House Correspondents' Dinner and telling jokes for everybody.
Mariana Atencio claims in her new memoir that a manager at NBC told her not to dress "too Latina" for the White House Correspondent Dinner in 2017.
At the last White House Correspondents' Association dinner, Michelle Wolf gave a 20-minute monologue that spared on one in the Trump administration—Trump, Ivanka, Vice-President Mike Pence and press secretary Sarah Huckabee Sanders all stared in Wolf's scathing act.
Conway's boss, President Donald Trump, has been known to make disparaging comments about women's looks.
It is not clear whether Eric Trump liked the tweets intentionally, given he also appeared to back his father for skipping the event.
Conservatives were appalled when "Daily Show" comedian Michelle Wolf roasted President Donald Trump's sex life and Sarah Huckabee Sanders's job performance.