jessica alba

Jessica Alba's daughter, Honor, is only 18 months old, but she follows a very strict diet.

"She doesn't have sugar at all," the actress said on "Lopez Tonight" Tuesday.

Continued Alba, "She doesn't have fruit juice... all of Honor's meals are cooked at home and organic."

See cute photos of Alba and her daughter

Alba isn't the only celeb mom whose baby follows a strict diet. Singer Erykah Badu told Celebrity Baby Blog that her 10-month-old son, Mars, is on a macrobiotic diet.

"It's different from being a vegan in that it goes a little bit deeper into the yin and yang of what a human being needs," Badu explained. "I always wanted to do it, but I didn't really understand the dynamics. Then, the more children you have, the more you get into health and holistic living. Which goes so far beyond being a vegan. I think they should know the benefits of having a healthy body."

Gwyneth Paltrow has said her family -- including children Moses, 3, and Apple, 5 -- are "pretty much vegetarian."

"We know it's the best diet for us and our kids, and of course for the animals and the environment," she said.

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