The rapper and his wife, 'Made In Chelsea' star Millie Mackintosh, met Kim at Givenchy creative director Riccardo Tisci's 40th birthday party in Ibiza and he was ''astounded'' by how beautiful she was in real life.
Speaking to Kiss FM backstage at V Festival, Green said: ''Millie was quite excited when she met Kim Kardashian, like, really excited. Kim's gorgeous in real life, I mean in person I was astounded with her beauty. And Kim's mum [Kris Jenner] as well, she's wicked, we met her in the hotel before the party and then a few hours afterwards. She was having a good time.''
When he's not partying with the 'Keeping Up with the Kardashians' star, Green has been busy working on his third album 'Growing Up in Public'.
The musician releases the LP in September and he is pleased to have new music coming out because he had started to feel ''unemployed''.
He explained: ''Two years between albums isn't necessarily a long time but I guess the way people consume music nowadays it felt like I was gone forever. I'm just happy to have a job again. I feel employed as opposed to unemployed which I've felt for the last two years.
''I was working hard in the studio but it's nice to be doing stuff again and to be back out doing shows, with the tour in November/December time and with the album out in September. It's nice.''
He added ''It means I can't fill up my spare time with things I shouldn't be doing so it keeps me out of trouble!''
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Pratchett died aged 66 in March 2015.