"So thankful for our newest baby blessing," Vanessa said in a statement ... "Capri Kobe Bryant."
Yes! Baby Mamba has a Mamba middle name!!!
40-year-old Kobe also spoke out ... saying, "We are beyond excited that our baby girl 'Koko' has arrived #BryantBunch #4princesses #blessed."
Capri Kobe Bryant joins 3 older sisters ... Natalia (16-years-old), Gianna (13-years-old) and Bianka (2-years-old).
Congrats!
Kobe isn't the first NBA star to give his name to a baby girl -- Iman Shumpert named his daughter Iman Jr. when she was born back in 2015.
Also, Serena Williams named her baby daughter Alexis after her husband Alexis Ohanian, one of the founders of Reddit.