The 39-year-old has named the baby Royal Reign, according to her assistant Noel Perez.
Missy Elliott tweeted: “Congratulations 2 my sis @LilKim & her precious healthy Babygirl #RoyalReign May she be Blessed! I’m happy 4 u kimmy (hugs),”
“Congrats to my bb and her bb @LilKim,” wrote Miley Cyrus with several heart-shaped emojis.
Last month the singer, whose real name is Kimberly Jones, tweeted a hint about the unusual name when talking about her baby shower.
She also put a photo on Instagram telling friends, family and fans they could buy her gifts from Tiffany, Petit Tresor and Babies R Us.
Lil Kim, whose real name is Kimberly Jones, won a Grammy in 2002 for her work on the number one hit Lady Marmalade with Christina Aguilera, Pink and Mya.
She released a song called Haterz in April.
It has not been confirmed who the baby’s father is but it has been reported that it is New York rapper Mr Papers.
Article Appeared @http://news.sky.com/story/1279232/lil-kim-gives-baby-daughter-a-regal-name