Kelsey Grammer's wife Kayte Walsh has given birth to their first child together.

The 'Boss' actor and his 32-year-old spouse - who were expecting twins - are ''thrilled'' after welcoming a ''healthy baby girl'' weighing 6lbs 2oz into the world this morning (13.07.12) in Los Angeles, and they have named her Faith Evangeline Elisa Grammer.

But the couple revealed they tragically lost their unborn son shortly after announcing Kayte was pregnant.

In a personal note, they said: ''Early this morning Kayte gave birth to Faith Evangeline Elisa Grammer. We are thrilled. She was 6lbs 2oz when she entered the world at 1am on the 13th of July in the year 2012. Mother and child are in excellent health.

''We were ecstatic earlier this year, when we announced that Kayte was carrying twins. Tragically we lost the little boy shortly thereafter. This was not something we cared to make known publicly at the time.

''It was unspeakably painful and we know that people will understand our desire to keep the news private then, as we know they will respect our privacy in this matter now. A glorious birth with a lingering sadness is ours today.

''We choose to celebrate the life that has been given us. We proudly introduce our Faith to the world today looking forward to The Days ahead and the children yet to come.''

The couple - who got married in February 2011 - previously lost a child when she suffered a miscarriage in 2010.

Kelsey, 57, already has four kids, Spencer, 28, and Greer, 19, from previous relationships and 10-year-old Mason and Jude, seven, with ex-wife Camille Donatacci.