Kim Kardashian and Kanye West have named their baby North West.

The reality TV star gave birth to the couple's first child on Saturday (15.06.13) and despite previous speculation they had settled on the name Kaidence Donda for their newborn daughter, the stars have reportedly opted for the directional name.

Gossip website TMZ has seen the birth certificate for the baby, who was born at Cedars-Sinai Medical Center in Beverly Hills, California, while other reports from the US corroborate the name, also. confirms the tot's name as North, adding that the couple will call her 'Nori' as a nickname.

Both mother and baby are said to be ''doing great'' even though Kim, 32, went into labour five weeks early.

A source said: ''The baby is so sweet. Kanye is in love. Kim's real due date was July 12 -- Kanye's mom's birthday. That warmed his heart.''

Kim and Kanye, 36, were rumoured to be considering calling their baby North in the past and the 'Keeping Up with the Kardashians' star even joked about giving her child a compass-themed name in an interview with Jay Leno on 'The Tonight Show'.

She said: ''I do like Easton, Easton West.''