The President angrily refuted her latest claims on Wednesday morning, which allege he forced himself on her and kissed her on the 24th floor of Trump Tower in 2006.
Crooks said Trump repeatedly kissed her on the cheeks and mouth during an introductory conservation when she was a 22-year-old receptionist at Trump Tower.
Trump dismissed her claims as "another false accusation".
Trump's second tweet on Tuesday, referring to one of his accusers having her mortgage "paid off", appeared to be a reference to Jill Harth. "Only @FoxNews so reported...doesn't fit the Mainstream Media narrative".
Crooks went public with her allegation in 2016, after a tape surfaced of Trump bragging about sexually assaulting women and "grabbing them by the p--y".
She maintains she has not sought financial compensation. He was talking to me in between kisses, asking where I was from, or if I wanted to be a model.
President Donald Trump on Tuesday attacked one of several women who have accused him of sexual assault. "What will it take to get a response", she was quoted as saying.More news: Countdown For Venezuela's Crypto Currency "Petro" Begins
More news: Justice Thomas delivers pro-gun rant just days after the Parkland shooting
More news: Iran Aseman ATR72 crashes in Iran
"You know, I'm automatically attracted to beautiful - I just start kissing them", Trump said to Billy Bush in the 2005 tape.
He would not say why he made the payment, but Daniels went on record in the past claiming that she carried on a months-long affair with Trump just after First Lady Melania Trump gave birth to their son Barron.
Ms Crooks was one of three women who publicly claimed to have been harassed by Mr Trump and called for a Congressional investigation into the allegations in December. I just start kissing them.
"Unfortunately, this behaviour isn't rare in our society, and people of all backgrounds can be victims".
After Trump announced he would run for president, Crooks and his other accusers told their stories on TV, in newspapers and other media - but to little apparent effect on the president's popularity, at least among his base, leaving her frustrated.
The firsthand accounts came after stirring details of the accusations were shared on USA television.