The incident, which occurred on Wednesday during the day, prompted a search for the individual, who went missing 150 miles off the coast of Louisiana.
In the clip, obtained by Fox 8, the passenger can be seen being detained by security guards on the deck of a Carnival Valor ship. During her struggle with authorities, she can be heard screaming "Alicia," before being ushered away by security.
Moments later, the video shows passengers rushing toward the ship's balcony after hearing that the woman jumped overboard. She was reported by Fox 8 to be a 32-year-old woman.
Previous reports cited accounts from unnamed eyewitnesses who claimed that the woman put on a life vest before jumping. In a statement to Insider, however, Carnival disputed the claim and said it was "pure rumor."
In a previous statement provided to Insider on Thursday, Carnival Cruise said the ship's command immediately began search-and-rescue procedures after the guest jumped overboard from her balcony. They notified the US Coast Guard to assist in their finding of the woman.
The Carnival Valor ship was traveling to New Orleans from Cozumel, Mexico, on a five-day voyage when the tragic incident occurred.
The passenger, however, has still not been found, according to the US Coast Guard. In a blog post, they wrote that they suspended the search after looking "approximately 2,514 square miles for over 14 search hours."
"The decision to suspend a search-and-rescue case is never one we come to lightly," said chief warrant officer Tricia Eldredge, command duty officer at Sector New Orleans.
He added: "We offer our deepest sympathies to the family during this difficult time."
Carnival told Insider: "Coast Guard officials took over the search effort and released Carnival Valor on Wednesday evening. Our thoughts are with our guest's family."
It added that the ship left on its next cruise on Thursday evening, after arriving at its homeport of New Orleans on Thursday morning.