Jessica wore a form-fitted, low-cut lace gown with a train, while Jonathan sported a navy blue suit.
The couple both posted photos from their big day on their respective Instagram accounts.
"Jon, before you. I didn't know love like this, for me, was possible. You know how much I love, love -- and I love, love stories. They are always other people's love stories but never my own," Jessica captioned the slideshow of pictures.
"'Now, our love story is one for the books.... and it will always be my favorite love story.' Those were some of the first words I shared with my HUSBAND @jon_francetic, FINALLY!!!!"
Jessica continued in her post, "This weekend, surrounded by our friends and family we were married on a perfect magical day. These are just a couple photos people sent me and I promise to post many more when we get them."
Jessica proceeded to thank everyone who's supported their relationship over the last four or so years.
"And a special thanks to my friend, my brother from another mother, @iamcalvinroberson for marrying us and always having my back," Jessica wrote to MAFS expert Pastor Calvin Roberson, who officiated the ceremony.
"We have had an amazing weekend so far and so much fun uniting our friends, families and the #mafs family represented -- we love you all."
Jessica concluded her caption with the hashtags #married, #wedding and #marriedatfirstsight, and she tagged fellow MAFS alums Jamie Otis Hehner, Doug Hehner, Shawniece Jackson and Jephte Pierre, who attended the ceremony.
For his part, Jonathan uploaded similar photos and wrote on Instagram, "A literal perfect day and phenomenal weekend with the best crew anyone could ask for!"
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"A huge thank you to @iamcalvinroberson for running the show and making sure @dr.jessicagriffin said yes. These are all the photos I have, so more to come when we get the professional shots," he continued.
Jonathan also capped off his post with the hashtags, #wedding and #bestdayever, and he tagged the same MAFS cast members as Jessica.
Shawniece commented on Jonathan's post, "Yessssss I can post! So happy to be a apart of your love story."
And Jamie gushed, "CONGRATS. After having to push the wedding back bc of the 'vid YOURE FINALLY MARRIED!!!! And it was a perfect weekend!!! You two are so wonderful together... Doug and I are SO FREAKIN' HAPPY FOR YOU BOTH!"
Jonathan revealed to Monster & Critics in October 2019 that he and Jessica had set a wedding date and they would be tying the knot at Ventosa Vineyards in New York.
Jonathan and Jessica live in Massachusetts but enjoy taking road trips around New England and New York and reportedly fell in love with the winery during a previous visit.
"Love is not canceled in 2020, but the wedding is postponed. This was supposed to be our wedding weekend," Jessica captioned a photo of the couple kissing in early October 2020.
"After lots of thought, we decided to postpone it so that we can have the destination wedding we want with the friends and family who have supported us so much. I couldn't write a wilder love story if I tried, so shouldn't be surprised that this pandemic is just one more hurdle we have tackled together."
Jessica continued, "I'm honestly sadder than I thought I would be now that it's here but we have each other and that's what really matters. And huge shout-out to Jon for being so steadfast while I bounced around like a ping pong ball with this decision."
She concluded, "Plus, I get an extra year to figure out what the heck to do with flowers and table decor because we all know that is not my forte @jon_francetic #loveisnotcancelled."
And Jonathan posted a different photo of himself giving Jessica a piggyback ride.
"Going to work today was more annoying than most Friday's, and everyone knows why. Fortunately, moving the wedding date doesn't mean we won't be together in the meantime!" Jonathan wrote.
"Here's to you jumping on my back, knocking me off balance, and laughing along the way regardless of a pandemic. Love you boo. @dr.jessicagriffin."
Jonathan and Jessica got engaged in Spring 2019 at the Grand Canyon National Park in Arizona shortly after People reported Jessica was leaving her role as a relationship expert on Married at First Sight after appearing on three seasons of the Lifetime reality series, as well as its Married at First Sight: Honeymoon Island spinoff.
Jessica and Jonathan met on Season 6 of Married at First Sight, on which Jonathan wed a total stranger, Molly Duff, and Jessica served as one of the show's relationship experts. Season 6 was Jessica's first season as a member of the show's expert panel.
Jessica, a licensed psychologist, is an associate professor at the University of Massachusetts Medical School in Worcester, MA, which is about 45 minutes west of Boston. Originally from Ohio, she has three children from a previous marriage.
At the time, Jonathan and Jessica faced backlash and scrutiny since, in addition to helping match them, Jessica had also served as a relationship counselor to Jonathan and his then-wife Molly duringMarried at First Sight's sixth season.
Critics had accused Jonathan and Jessica of engaging in an "inappropriate" romance that reflected poorly on Jessica's professionalism and credibility.
Jessica, however, insisted she did not have an actual client/therapist or doctor/patient relationship with Jonathan at any point during production and outside companies are hired to conduct the psychological evaluations of Married at First Sight's cast members.
"Part of me was like, 'Okay, this is someone I had been confiding in the whole time," Molly said on the special.
"[Jessica] was supposed to be fighting for our marriage together, and then kind of out of the blue seeing they're suddenly together, it sucked. It sucked that it was someone I confided in that was supposed to be rooting for us, and I guess that's his person."