Kim Kardashian holds her daughter North in her arms as she shops in ParisReuters

Kim Kardashian is a proud mom!

The reality star's daughter, North West has taken her first steps.

The Keeping Up with the Kardashians star and her husband Kanye West are "so proud" of 13-month-old North after she walked unaided for the first time after a swimming lesson, reported Hello Magazine.

Kim announced her little girl had reached the milestone on her Instagram page, posting an adorable picture of her kissing the little girl, who was wrapped in a yellow towel.

She wrote: "Our baby girl finished one week of swimming lessons today then took her 1st steps right when she got out of the pool!!!! Mommy & Daddy are so proud of you!!!! Photo cred: Daddy (sic)"

A source said that Kardashian and West's little girl is quite the swimmer.

"North is doing a great job," the source said of the little one's water skills.

It was recently revealed that North loves joining her father in the recording studio and is "obsessed" with listening to his new tracks.

A source said: "She loves music and is obsessed with hearing it in the studio."

North is also serving as inspiration for the rapper and spends half her day in the sound booth with him.

Kim, 33, previously confessed that North made her want to have "a million" children because she is the perfect baby.

She said: "I've always wanted about six kids. After having North, I would have a million."