The actor and director's comments came a day after Dylan Farrow, 28, renewed claims dating back to Allen's tempestuous relationship with actress Mia Farrow in the early 1990s.
Allen's publicist Leslee Dart said Allen had read Dylan Farrow's open letter, published by The New York Times, claiming she was sexually assaulted by her adoptive father as a seven-year-old.
Ms Dart said: "Mr Allen has read the article and found it untrue and disgraceful."
Dylan Farrow claimed that in 1992 at the family's Connecticut home, Allen led her to a "dim, closet-like attic" and "then he sexually assaulted me". Farrow did not specify Allen's actions, but described other abusive behaviour.
Allen was investigated over the 1992 accusation, but prosecutors elected not to charge him.
A spokesman for the Connecticut Division of Criminal Justice said the prosecutor's office would not re-examine the case unless it was asked to.
The 1992 allegation came shortly after Allen became involved with Mia Farrow's adopted daughter, Soon-Yi Previn. Allen, The two married in 1997 and have two adopted daughters.