"K J [heart emoji] @kendalljenner," he wrote.
"You can't sit with us !@kendalljenner #goddess," he added.
One photo shows the 23-year-old holding onto the director's chair, while the other shows Kendall stood staring head on into the camera lens, holding behind her neck.
The leggy model also took to social media to share one of the daring snaps.
Mum Kris Jenner and sister Khloe Kardashian were quick to comment on the photo.
"Hello lover [heart eyes emoji]," Khloe wrote.
The reality-TV star has recently been linked to NBA star Kyle Kuzma following her split with Aussie basketball star, Ben Simmons.
Kendall reportedly looked happier than ever when she was spotted getting cosy with the Los Angeles Lakers player on "a romantic cruise".
While the Victoria's Secret angel — who seems to be enjoying a carefree lifestyle since ending her relationship with her boyfriend of one year— is yet to confirm whether the rumours are true, she did say on Zaza World Radio show last week that "4th of July is arguably my top two favourite holidays... I don't know why I love it so much. It's the fireworks and the vibe. I just feel like you should be in love on 4th of July." Hmm.... interesting.
According to E! News, long distance spelled the end of Kendall and Ben's seemingly perfect relationship.
"Ben and Kendall split recently before the Met Gala. They are still on fine terms and have been in touch," an insider told the outlet before revealing the distance Los Angeles based reality star and the Philadelphia 76ers player "was getting to be a lot."
"She cares about Ben and always wants to end her relationships on good terms," the source continued. "Kendall knew she had several out of the country trips coming up and thought it would be best if they took some space. It's been hard for them with the time differences and both of their schedules but there is a chance they will get back together."
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