"Enough is enough. It is time for ABC to take a stand. How many times will ABC's leadership enable Kimmel's atrocious behaviour at the expense of our community," she said in a post on X.
Kimmel, in a parody of the White House Correspondents Dinner that aired last week before the actual event, said: "Mrs Trump you have a glow like an expectant widow."
"Kimmel's hateful and violent rhetoric is intended to divide our country," Melania Trump said.
"His monologue about my family isn't comedy - his words are corrosive and deepens the political sickness within America.
"People like Kimmel shouldn't have the opportunity to enter our homes each evening to spread hate."
President Donald Trump and the first lady were rushed out of the dinner Saturday after a shooting in the lobby of the Washington Hilton.
A suspect identified as Cole Allen charged through a checkpoint and fired at Secret Service agents, wounding one, before he was subdued and arrested.
Disney and ABC did not immediately comment.
In September, the head of the Federal Communications Commission pressured broadcasters to take Kimmel off the air.
ABC briefly suspended Kimmel's show that month over comments he made about the assassination of conservative activist Charlie Kirk.
Hours before the suspension, FCC head Brendan Carr warned that local broadcasters who aired Kimmel could face fines or loss of licences and said "it's time for them to step up".
His comments garnered pushback from the entertainment industry and politicians on both sides of the aisle, including Republican Senator Ted Cruz, who likened his threats to that of an organised crime boss.
