Kanye West proposed to Kim Kardashian after she gave birth to their daughter North, it has been claimed.

The 36-year-old rapper asked the reality star to marry him just days after the couple welcomed their first child, The Sun reports.

The pair are said to be planning a September wedding in Paris.

Down the aisle again: Kanye West is said to have asked  Kim Kardashian to marry him shortly after she gave birth to their daughter

While Kanye is said to have asked Kim to marry him without an engagement ring he is said to have spent £500,000 on a rare  black diamond ring, as a gift to mark the birth of their child.

A spokesperson for Kim was unavailable for comment on Sunday.

Kim gave birth to her first child Saturday 15  June – a month ahead of her due date.

Mail Online exclusively revealed that the  reality star had been admitted to hospital in Beverly Hills the night  before.

All official: The couple have called their daughter  North and decided against a middle name

Kim had taken out a birthing suite at  Cedars-Sinai Medical Center – a hospital of choice among many celebrities  including Britney Spears, Victoria Beckham and Jessica Simpson.

The reality star is said to have splashed out  more than $100,000 on her four day stay at the hospital.

A source told The Sun; ‘Kanye  wasted no money in making sure Kim had the best of everything while she’s in  hospital.’

‘He has spent half a million on a ring as a  push present and had it designed months ago in preparation.’

Former flame: Kim’s divorce from Kris Humphries was  finalised earlier this month

‘He’s even more in love with her now than  ever and they can’t wait to get married.’

Kim only finialised her divorce from her  second husband Kris Humphries earlier this month after a long and bitter legal  battle.

Their marriage lasted just 72 before Kim  filed for divorce in October 2011.

Kim was also married to music producer Damon  Thomas from 2000 until 2004.

Kim and Kanye’s decision to name their child  North West has raised eyebrows among fans.

The pair are said to want to call their  daughter ‘Nori’ for short and the child doesn’t have a middle name.

Kim left hospital on Thursday and is  currently getting used to being a new mother.

Since the birth Kim, who is a social media  enthusiast, has failed to post anything to her Twitter page.

Read more: DailyMail