A very sweet photo posted to Emma's Instagram account on Tuesday night (27 May) shows tiny Evelyn staring up at big sister Mabel Ray in awe.
Emma added the caption: "The start of a beautiful friendship."
Little Evelyn was born in Los Angeles on Monday, 5 May, weighing 8lbs 10oz. She is the second child for Bruce and Emma, who are also parents to daughter Mabel, two.
She is Bruce's fifth daughter in total. He's also dad to Rumer, Scout and Tallulah from his marriage to ex-wife Demi Moore.
In a recent interview with Zoomer, Bruce talked about the happiness Emma has brought to his life.
"She's brought me her incredible spirit and class and beauty and love. Before I met Emma, I was very pessimistic about finding that special woman whom I would want to spend my life with... With Emma, I knew I had found a woman who didn't need or want anything from me other than for us to be together and be happy."
Reveal is now on Google Plus! Join us here for the latest pictures, fashion and celebrity news!
Got an iPad or iPhone? Reveal Mag is specially designed to fit!
More stars who welcomed babies in 2014 in pictures:
Copyright: Rex Features WENN/Matthew Taylor/Daniel Deme/Josiah True/Matthre Taylor/Joe