"POV: you open my camera roll," he wrote on the video's opening clip of him kissing Chopra before it cuts to scenes of Malti running in a field, the Jonas Brothers performing and him FaceTiming Malti.
The video ends with a snippet of Chopra and Malti holding hands while walking in a wooded area.
Days earlier, Chopra paid tribute to her rockstar husband for his Sept. 16 birthday.
"Happiest birthday to the best husband and dad. You make all our dreams come true ... everyday ... we love you @nickjonas ❤️," she wrote beneath a picture of her and the Camp Rock actor embracing their daughter.
Jonas and Chopra, who married in late 2018, welcomed Malti in January 2022.
"We are overjoyed to confirm that we have welcomed a baby via surrogate," Chopra wrote at the time. "We respectfully ask for privacy during this special time as we focus on our family."
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Both have been outspoken about raising Malti since becoming parents.
Chopra exclusively told PEOPLE in October 2023 about how motherhood can be both "scary" and "the greatest thing" she's ever done.
"I think when you put them to bed, it's extremely overwhelming because every single day you worry about what you can do wrong and what mistake you might make," she said. "But you have to check yourself, and I check myself with my family."
"I look at [my daughter's] smile, and I'm like, 'Okay, okay. I'm doing good so far,' " she added. "It's the greatest thing I've ever done, but it's extremely scary."
Meanwhile, Jonas spoke to PEOPLE exclusively in August about how being a parent to Malti changed how he views things.
"I think that, for me, becoming a parent changed everything in my life and my perspective on everything," Jonas said at the time while promoting his movie The Good Half. "That's a natural thing obviously that will happen."
"My daughter is the light of my world, and making projects that I'll be able to watch one day with her, absolutely a goal," he added. "And this movie for sure is one of those."