The 30-year-old Sports Illustrated model posted a touching image of her little girl - who is less than a week old - on Instagram for her six million followers.
The tender image, which showed Teigen tenderly cradling her genetically blessed daughter and stroking the child's thick mop of dark hair, was captioned "Hi my lulu!".
Teigen and her husband, singer John Legend, announced their tiny daughter's birth last Thursday on social media.
"She's here! Luna Simone Stephens, we are so in love with you! And sleepy. Very sleepy," Tiegen wrote.
The pair revealed their baby weighed in at 6 lbs 11oz, smaller than average.
Legend also sprouted his love, tweeting: "Our new love is here! Luna Simone Stephens, born on Thursday, the 14th. We couldn't be happier!"
Our new love is here! Luna Simone Stephens, born on Thursday, the 14th. We couldn't be happier!— John Legend (@johnlegend) April 17, 2016
Teigen has been open in the past about her fertility struggles, and used IVF to conceive her child, revealing she hand-picked a female embryo to ensure she and the singer would have a daughter.
"I've made this decision ... Not only am I having a girl, I picked the girl from her little embryo. I picked her and was like, 'Let's put in the girl,'" she told People.