The couple welcomed Wylde on Friday, September 11, reported Aceshowbiz.
The 27-year-old beauty shared the baby news on her Instagram account.
In one of the Instagram photos she shared, Cole could be seen holding Wylde on her arms as she sat on a bed and offered a smile to the camera.
The other picture, meanwhile, offered a glimpse of Wylde's little hand pulling at her mother's famous red hair.
Cole also shared a link to her website featuring a poem she had written about her daughter. No other details about Wylde were shared though.