The 28-year-old, who is throwing her head back laughing in a white pencil skirt and no top, captioned the photo: "Lurning 2 make insta moovies."
The first shot of the short video shows Chrissy and 35-year-old singer-songwriter John facing each other in an embrace, his arms around her waist and hers around his neck.
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In contrast to Chrissy’s semi-nakedness, her new hubby John is fully clothed in an orange T-shirt and skinny black jeans.
The next shot of the video, which is just a few seconds long, shows a close-up of the brunette model's mouth as she says the word "random" in a scary voice.
Chrissy is no stranger to posing for the camera in skimpy clothing. She is currently in the running to be the face on the cover of Sports Illustrated's 50th Swimsuit Issue, which is due to hit newsstands on 18 February.
Chrissy and her new hubby John – the couple tied the knot in a lavish romantic ceremony on Italy's Lake Como in September of last year – spoke at the weekend about their desire to have children.
"We definitely have plans for kids," Chrissy told ABC News at the Shape Magazine Super Bowl party at the weekend. "I want a ton, he wants a ton, so I guess it's time to start."
The Norwegian-Thai beauty did reveal that she’s not looking forward to the pregnancy element, though.
"I just wish they appeared. I just wished they just showed up out of nowhere," she added.