Herzigova in Cannes
Daniele Venturelli/WireImage
A spokeswoman from Storm Models confirms the baby was born in Paris on June 1. "They now have a lovely son who they have named George Marsiaj Herzig," says the rep.
"The whole family are well, Eva is delighted, and they will all be leaving on a holiday together shortly."
The Czech-born supermodel, 34, shot to fame in the "Hello Boys" Wonderbra ad campaign that literally stopped traffic back in 1994.
Last month she attended the Cannes Film Festival where she revealed the sex of her baby to PEOPLE and said: "I am so excited. I cannot wait for motherhood."
Before meeting Marsiaj, a Turin businessman whom she has dated for several years, Herzigova was married to Bon Jovi drummer Tico Torres for two years.
Despite her career as a model, she has no plans to go on a post-pregnancy diet, she recently told The Sunday Times: "I'm not like one of those celebrity people who would die to get back into shape."
