The "Sex and the City" star told "Access Hollywood" that the attention has led to an invasion of the woman's privacy. Parker said the stress has taken its toll on her, and she worries about her "and the safe delivery of our children."
The 44-year-old said in an interview airing Tuesday on NBC that the surrogate's telephone and computer have been hacked into, and she's received threats. Parker said it hasn't ended there: "She's had friends threatened and family threatened and she's had family of friends threatened."
"I care deeply about her and I am incredibly outraged by the sort of extraordinary and unprecedented invasion of her privacy," said Parker. "I think even given the unfortunate way we live now in this unending appetite for the more salacious information, it has still shocked me, and it has still really disappointed me."
Parker said a pregnant friend of the surrogate was also chased by the paparazzi.
"She's had a friend who was thought to be her chased down a highway ... This friend is nine months pregnant - chased down a highway by photographers and dare I call them 'reporters.' I guess that's how they identify themselves," she said. "It's crossed lines - Pretty much all the lines have been crossed."
The couple has a 6-year-old son, James Wilkie Broderick.