Molly Sims has named her baby Brooks Alan Stuber.

The 39-year-old model - who welcomed her newborn son with Scott Stuber on June 19 - has confirmed the moniker just a week after she said she was delighted to welcome their son after an ''incredible'' pregnancy.

She wrote: ''It is with such absolute pride and pure joy that we welcome baby Stuber into our lives. Scott and I could not be happier, and can't wait to watch our little guy grow and see the world through his eyes. The past nine months have already been an incredible Journey, and we are so excited for everything to come.''

Molly - who wed Scott in September 2011 - previously revealed she was ''over the moon'' to be expecting her first child.

She said: ''I am absolutely, positively, downright over the moon to announce that we are pregnant! There are simply no words to describe The Feeling . I finally get what they mean when they say pregnant women glow.

''Our little bundle of joy is a honeymoon baby, due at the end of June. A first pregnancy is a nerve-wracking experience of course, but mostly we are just thrilled and excited. We can't wait to meet him or her.''