Snoop, 43, posted a collage of images on his Instagram account showing members of his family cradling the new arrival and wrote: ''Zion. U have a lot of love WAitn on u grandson!! (sic)''
Photo: Snoop`s wife and Grand son, Zion
He also added a video of Corde with his little boy and wrote: ''Proud grandad. My son spank n grandson Zion!! Jah bless (sic)''
And Shante also shared a picture of herself with her new grandchild. She wrote alongside it: ''My First Born @1lovesociety Gave Me My First #Zionkalvin #Mamatae (sic)''
Snoop - whose real name is Calvin Cordozar Broadus Jr. - has previously admitted he lets his kids do ''whatever they want'' and defended himself after pictures were published of him smoking marijuana with Corde when his son was just 18 years old.