"Our response to baby speculation over the past 18 months has remained the same...when/if Alec&Hilaria have news they want 2 share,they will share it. Until then, no comment," he wrote.
Baldwin's wife, Hilaria Thomas, (now Baldwin) re-tweeted the statements in a cry for privacy.
The rumors about a possible Baldwin baby surfaced Tuesday after In Touch Weekly claimed Hilaria was pregnant.
Celebrity Families of 2014 [PHOTOS]