The Grammers say they are thrilled at the arrival of their first child together, Faith Evangeline Elisa Grammer, who weighed six pounds and two ounces when born.
In a statement, the couple announced that although they had been expecting twins, Kayte Grammer suffered a miscarriage several months ago. They wrote in a statement that there is a lingering sadness about the loss but they are celebrating their newborn and plan to have more children together.
The couple married in February 2011. Grammer and his 31-year-old wife recently renewed their vows in Las Vegas.
The 57-year-old Emmy-winning actor and star of series such as "Cheers" and "Frasier" has four other children.