"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.
NBC reportedly holds celebs hostage to Jimmy Fallon's show
Aaron Carter is still in love with Hilary Duff