Allen was investigated over a 1992 claim by his adoptive daughter, Dylan Farrow, of sexual assault which allegedly took place at the family's CT home.
Following the publication of Farrow's op-ed, a spokesperson for Allen said in a statement, "Dylan Farrow's allegations against Woody Allen, which she first made 25 years ago, have been thoroughly examined by law enforcement officials and child welfare investigators".
Woody Allen has always denied the allegations and has never been charged with a crime.
"When I was 7 years old, Woody Allen took me by the hand and led me into a dim, closet-like attic on the second floor of our house", Farrow told Gayle King in an interview to be aired on CBS This Morning Thursday. "All I can do is speak my truth and hope that somebody will believe me instead of just hearing it".
"I didn't like it when I had to get in bed with him under the sheets when he was in his underwear", she wrote.
His response comes as a growing number of stars apologise for having previously worked with Allen , due to decades-long accusations of sexual assault by the director's adoptive daughter.
The CBS interview with Dylan Farrow was filmed at her home in Bridgewater, Connecticut.
The breakout star of Call Me By Your Name announced yesterday on Instagram that he didn't want to profit from his work on Allen's A Rainy Day in NY, which wrapped shooting in the fall.
A NY judge who presided over the 1994 custody battle between Allen and Farrow ruled that the abuse allegations were inconclusive, but at the same time lambasted the director as "self-absorbed, untrustworthy and insensitive".
"I believe Dylan", Oscar-winner Natalie Portman told Oprah Winfrey in a recent group interview with other actresses who included Reese Witherspoon.
Last December, Dylan Farrow wrote another op-ed in the Los Angeles Times under the headline "Why has the #MeToo revolution spared Woody Allen?".
A CT police investigation also failed to result in any charges. A fan commented on a photo posted on Monday by the star's mother, Mandy Teefey, suggesting she make her daughter apologise for working with Allen.