Kim Kardashian has shared the first photo of her and Kanye West's son Saint West.

The 35-year-old reality star posted the image of her two-month-old child on her app and website today, on what would have been her father Robert Kardashian's 72nd birthday.

Alongside the cute photo, she wrote: “Today is my dad’s birthday. I know there’s nothing more in the world he would have wanted than to meet his grandchild. So I wanted to share this pic of Saint with you all.”

In the image, the sleeping child is dressed in a simple knitted outfit with his arms outstretched above his head.

The Keeping Up With The Kardashians star also took the opportunity to pay tribute to her dad, who passed away in 2003.

She wrote: "Happy Birthday dad! I can't believe you would have been 72 today.

"So much has gone on in our lives since you've been gone, and I know you have been my guardian angel seeing everything unfold! I love you and miss you so much!"

Saint was born three weeks early at Cedars Sinai Medical Centre in Los Angeles on December 5, with the news being announced shortly afterwards through her website.

A representative for the couple wrote: "To our fans. Kanye and I welcome our baby boy!

"Kim Kardashian West and her husband, Kanye West, welcomed the arrival of their son this morning.

"Mother and son are doing well."

The couple - who also have two-year-old daughter North - revealed the baby's heavenly moniker just three days later on Instagram.

Kim posted an image of four emoji people representing herself and Kanye along with their two children, which she captioned with the name, “SAINT WEST”.

Though this is the first time fans have seen Saint's face, family friend Malika Haqq previously revealed she thought the infant looked like his older sister, while Kim joked he was "cute" - just like her.

During a livestream with her brother Rob Kardashian, she said: "He's so cute, you guys, you have no idea. He looks kinda like just like me, don't you think?

"He's so cute - he looks just like me!"