The actor, who is best known for his role as Brad Taylor in the 90s sitcom Home Improvement, confirmed the happy news to PEOPLE magazine, saying 'We are thrilled with our new addition'.
Zachery's daughter Jordana Nicole Bryan arrived on Tuesday 7th June, weighing 6 lbs., 1 oz, and measuring 18.75 inches long. She joins older twin sisters Gemma Rae and Taylor Simone, who were born in June 2014.
Zachery pictured with the Home Improvement cast in the 90s
Fans quickly took to Twitter to congratulate Zachery and his wife Carly on the announcement, with one writing 'Congrats to you and your wife on a healthy and happy baby,' and another adding, 'What a precious gift'.
Zachery started his career in television with advertising roles at a young age, and was quickly cast alongside Tim Allen in the role of oldest child Brad in Home Improvement, which he played from 1991 to the show's conclusion in 1999.
Since then, Zachery has had brief roles in a number of other series, including The Fresh Prince of Bel Air, Buffy the Vampire Slayer, and Veronica Mars. However, he has not featured as an actor for film or TV since 2009, and has turned his hand to producing, most recently working on documentary film Milius in 2013.
Zachery with his wife Carly, whom he met at school
Zachery met his wife Carly Matros at school, and the pair got engaged in 2005, and married in 2007.
Speaking of the arrival of the couple's latest little one, Zachery quipped to PEOPLE, 'I remember my adolescent days and always dreaming of girls. Well, my wish came true in a very different way!'