The 33-year-old reality star smooched Thompson in a new photo on Instagram Monday following reports she's pregnant and expecting her first child with the 26-year-old NBA star.
"My Love," she captioned the picture for her 69.4 million followers.
Kardashian posted relationship advice for new couples on her app, Khloe with a K, earlier in the day. She advised her fans to develop a mutual respect with their partners and focus on the positive in their relationships.
"I think with any relationship the key is to always have respect for one another," the star wrote. "There are no winners in fighting. If you win, that means your partner loses, so that's not really a win for you, is it?"
"No matter how old or new a relationship is, I believe in always praising your partner for the good that they bring and add to your life," she added. "It's so easy to focus on the negative, but once you start criticizing one another, it's really hard to get out of that rut."
Kardashian and Thompson were first linked in October 2016 following their respective splits from James Harden and Jordan Craig. People reported in September that the couple are expecting their first child.
"They are absolutely thrilled," a source said at the time.
Kardashian was all smiles Monday afternoon while filming a holiday episode of Keeping Up with the Kardashians with her family and retired Olympic figure skater Nancy Kerrigan. Her sister Kylie Jenner, who is also reportedly expecting, was present but didn't ice skate with the group, according to People.