The rapper's eldest son Corde Broadus and his wife Jessica Kyzer are believed to have welcomed baby Zion last weekend.
'Proud granddad' Snoop is a youthful 43 years - five years younger than radio DJ Chris.
Keen Instagrammer Snoop uploaded a collage showing pictures of his first grandson with members of his family alongside the caption: "Zion. U have a lot of love WAitn on u grandson!!"
Clearly loving becoming a grandfather, Snoop then uploaded a video of a smiling Corde holding his adorable son.
He captioned the video: "Proud grandad. My son spank n grandson Zion !! Jah bless."