Sarah Jessica Parker has expressed concern about the health of her surrogate children and the woman carrying them.

Parker, who is on set in New Mexico for Did You Hear About the Morgans?, hit out at tabloids and paparazzi that have zeroed in on the American carrying her twins.

The Sex and the City star, who has a son with actor husband Matthew Broderick, says the woman has faced “true harassment” on “a daily basis – on an hourly basis”.

“I am greatly concerned for her health and safety and the safe delivery of our children,” she said.

In April, the couple announced they were expecting twins being carried by a surrogate.

An outraged Parker said: “The most unsavoury things have been done. She’s had her phone hacked, her personal computer information hacked, she’s had threats against her.”

In footage shown on TV this week, comparisons were made between the modest home of the surrogate and the glamorous New York lifestyle of the showbiz couple.