"He sent his assistant to Italy and shopped via Skype," Kim said in a livestream
Meanwhile, Kim, 35, splashed out on a silver Can-Am Spyder bike, which retails at over $14,999, for her 38-year-old husband.
As Kanye took it for a test run, Kim said: "You know we do silver cars, so I had it made it matte silver."
And their little girl was seen in the video riding a tiny fire engine toy truck.
A voice asked her: "Santa brought you that?"
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The video also showed Caitlyn Jenner - who was previously married to Kris Jenner - joined the family for Christmas.
Last week, Caitlyn, who was previously known as Bruce before undergoing a gender transition, admitted Kris' Christmas Eve party is her favourite event of the festive season.
She said: "Probably the biggest tradition I have along with the rest of the family, is Kris - for the last 30 years - her Christmas Eve party is over the top spectacular.
"She does such a beautiful job with decorating the house. We've had the same Santa Claus for 25 years."
Kim posted a family photo from the party, minus new baby Saint on Instagram.
-Bang! Showbiz