The advert for Endrick Clothing, owned by Ramadan and based in Waltham Abbey, in Essex, shows the groom and groomsmen smoking cigars.
It was shared on his Instagram account and that of his wife Pattison - who has 5.5m followers - in October.
The Advertising Standards Authority (ASA) said it upheld two complaints and "concluded that the ads were irresponsible."
"We considered that the video presented smoking in an appealing manner and suggested that it was part of a glamourous and aspirational lifestyle," the ruling stated.
Former Geordie Shore star Pattison married Ramadan at London's Marylebone Town Hall in August before they held a second ceremony and party in September in Italy.
The wedding was filmed for a two-part TV show that aired on E4 in October.
The ASA also criticised Ramadan for not making it clear the film was an advert and for not responding to its inquiries.
"We concluded that the ad was not obviously identifiable as a marketing communication and as such breached the code," it said.
Pattison confirmed that any future posts that featured Endrick Clothing would be labelled as ads, the ASA added.
Pattison and Ramadan have been approached for a comment.