The Oscar winner told People.com son Holden Paul Terry Backus was born June 22 and weighed 8 pounds, 12 ounces.
He is the third child for the "Mighty Aphrodite" star and her actor husband Christopher Backus. The couple are also the parents of a 4-year-old daughter named Mattea and a 3-year-old son called Johnny.
"We are overjoyed to bring our beautiful healthy son home to his brother and sister," Sorvino and Backus said in a statement issued to People magazine Monday. "We are blessed to have a home filled with so much love."
During her third pregnancy, the 41-year-old actress reportedly suffered placenta previa for which she was hospitalized for weeks, then placed on complete bed rest.
"I developed a blood clot (DVT) due to all the inactivity and had to be anti-coagulated for months to prevent a pulmonary embolism," Sorvino told People.com. "I spent another two-and-a-half weeks at the hospital, during which time, missing the children and my husband and knowing what the separation was doing to the kids became almost unbearable. Prior to this nine-week hospital stay, I had only ever spent one night away from Johnny and Mattea."
The actress said that as soon as she held Holden in her arms, she knew "it had all been worth it."
"He is my miracle baby. With everything that threatened this pregnancy and both of our lives, he came out of it completely unscathed: perfectly healthy, beautiful and wonderful," Sorvino added.