"Happy Father's Day! Thank you for being such a good dad to our babies!" Kardashian, who shares 4-year-old daughter North and 18-month-old son Saint with West, captioned a photo of the rapper with North.
"Happy 1st Father's Day Liam," Cole, who shares 3-month-old son Bear with Payne, wrote. "You are the most amazing baby daddy and the best example for our son. The way he looks at you says it all. Your relationship melts my heart. You are the centre of his world & We adore you."
In addition to Payne, Kardashian's brother, reality star Rob Kardashian, and Seattle Seahawks quarterback Russell Wilson rang in their first Father's Day as dads.
"To my son, Rob, on your first Father's Day... I am so proud of you!" Rob and Kim's mom, Kris Jenner, gushed on Instagram. "I've watched you grow into the most loving, caring father to our precious angel, Dream. Your father would be so proud of you."
"Since day 1, you have always been there with open arms!" Wilson's wife, singer Ciara, wrote. "You have always given your all! I'm so grateful for the Man and Father you are to our family. You are truly The Best Dad In The World. We love you soooo much!"
Rob welcomed daughter Dream Renee with ex-fiancée Blac Chyna in November, while Ciara gave birth to daughter Sienna Princess in April. Ciara is also mom to 3-year-old son Future Zahir with ex-fiancé Future.