Lively’s legal case includes many of the same allegations that appeared in her civil rights complaint, often predating the lawsuit that was filed in California in December.
She is asking for damages, including “lost wages” and money for “mental pain and suffering.” She does not name the amount of money.
In its lawsuit against The New York Times, first reported by Variety,, external Baldoni claims defamation and fraud. He accuses reporters of working with the actress to “damage” his reputation and not giving his team adequate time to respond to the “bombshell story.”
Baldoni’s lawsuit alleges that the Times relied on “selected” and altered reports “stripped of necessary context and deliberately stitched together to mislead.”
In a statement, the New York Times reports BBC News his report was “based on a review of thousands of pages of original documents, including text messages and emails, which we quote in detail in the article.”
“We have also published their (Baldoni and his team’s) full statement in response to the allegations in the article.”
Baldoni was dropped by his talent agency after the claims were published in a newspaper. His lawsuit is seeking a jury trial and $250m (£199m) in damages.
The actor’s attorney, Brian Friedman, told CBS News that the newspaper “aided and abetted” a “smear campaign designed to revive … Lively’s shaky image.”
Baldoni’s lawsuit includes many of the same text messages and communications listed by Lively that she used to accuse his team of orchestrating a social media campaign to sway public opinion against her.
In her lawsuit, Lively accuses Baldoni and his team of attacking her public image after a meeting about “repeated sexual harassment and other disturbing behavior.”
At the meeting, she is said to have laid out 30 demands related to the alleged violations so they could continue production on the film, including not depicting genitalia on set and not adding any intimate scenes other than those Lively had previously approved.
Lively’s legal team also accused Baldoni and his Wayfarer film studio of developing a “multi-layered plan” to destroy her reputation that included manipulating social media and using sympathetic journalists to promote certain narratives.
Baldoni’s lawyers previously told the BBC that Lively’s allegations were “categorically false” and said they had hired a crisis manager because Lively had threatened to disrupt the film if her demands were not met.
BBC News has contacted representatives for Lively, Baldoni and The New York Times for further comment.
The movie It Ends With Us was released last summer, and Lively plays a woman in a relationship with a charming but hurtful boyfriend played by Baldoni.
The film is based on the best-selling novel by Colleen Hoover. The 45-year-old writer said she was inspired by the domestic violence her mother experienced.