The Halo singer was also absent from Kim's wedding to Kanye West in 2014 despite both her and her husband Jay Z having their names carved into marble for the dinner.
The source added: "[Beyoncé's] behaviour during the wedding proved she isn't Kim's biggest fan."
The news of the feud comes after 39-year-old Kanye recently hit out at Jay-Z - with whom he used to be close friends - for not visiting the pair after Kim was robbed at gunpoint in Paris, France, earlier this month.
Read more on Spy:
• Max Key says sorry to PM for social post
• Jay-Jay Harvey goes off-air following depressive episode
The Famous rapper also claimed that Jay Z, 46, had never brought his daughter Blue Ivy, four - whom he shares with Beyoncé - over to play with Kanye and Kim's two children North, three, and Saint, 10 months.
Kanye said: "Don't call me, after the robbery, and say, 'How you feelin?' You wanna know how I'm feelin? Come by the house.
"Bring the kids by the house like we're brothers. Let's sit down.
"I can't take this s**t bro. Our kids have never even played together."
- Bang! Showbiz