On a cruise where a number of engaged couples will be married, a man bails on his fiancée and expects his friend to break the news. The parents of a young engaged couple try to stop their impending marriage. A contest promoter considers taking a bribe. Julie reconnects with a man she met on a previous cruise to Alaska. Gopher is upset about having to be a judge of a contest, until he meets the other two judges.
Vicky develops a strong attachment to Mrs. Evans and sees her as a surrogate mother; Mr. McCann is due to be married but can't say the words. "I do"; Emily's estranged fiancé comes back; Doc send Gopher on a wild goose chase to get him away from the judges and he ends up in jail.
A woman claims Julie is trying to steal her fiancé; several passengers have come on board after receiving free passage only to discover there is a price to pay after all; a woman tires of her husband's boorish treatment of her and takes up with Doc; a man is being pursued by a mysterious woman.
Two sets of parents try to get their children together. And the children are fed with them pushing them together that they decide to do something. But it blows up in their faces. A single mother looking for a guy will only date someone whom her baby likes. And Isaac's aunt and uncle come on board and her aunt who fancies herself an actress, performs and Isaac asks them to praise her and in doing so she decides to pursue it which means she will leave her husband.
A kleptomaniac meets a psychiatrist who tries to help her but when they fall for each other, the psychiatrist keeps his distance. A television star comes on board and Vicki who adores him expects him to be like his character but is not. And the Captain's brother comes on the cruise to introduce the woman he is going to marry to the Captain. But a woman whom he was involved with follows and tries to woo him back to her and he finds it hard to resist her.
A woman (Sue Ane Langdon), whom Capt. Stubing knows, comes on board with her husband (Monte Markham) but is feeling neglected, so she turns to him. A woman (Pamela Sue Martin), who wants to keep guys from hitting on her, puts on a wedding ring. And a scientist (Tom Smothers) thinks a woman (Helen Reddy) is an alien and convinces Gopher of it and freaks out.
A woman, who believes she is cursed and will prematurely die, is determined to find her husband a new mate; Isaac is afraid of running into his old teacher; a seal tries to prevent its trainer (Donald O'Connor) from meeting other women.
Gopher is initially worried about meeting his Canadian pen pal but then thinks he's in love; A woman discovers she is supposed to share her cabin with another man, and after throwing him out he tries to find a place to stay; a man married to a workaholic meets a widow who's willing to take his wife's place.
Doc Bricker is excited to meet his old medical school chum (Jim McKrell), but when the old friend has to skip the trip, he asks Doc to look after his wife (Jill St. John) and the wife is very interested in getting to know Doc better; a very ordinary-looking guy (Ron Palillo) is actually the world's greatest lover; and a woman (Dorian Lopinto) either has a twin or a secret past.
A man (Dick Martin) in the middle of a divorce traveling with his mistress is convinced his wife is spying on him; a blind woman (Leslie Uggams) fends off a would-be suitor; nudist sunbather causes problems for the crew, especially Gopher.
Isaac's uncle who's not exactly been an upstanding guy comes on board. And a government agent tells the Captain that he is following Isaac's uncle he thinks he's involved in something that's not exactly legal. A member of the crew is attracted to a passenger but her mother is hoping she can snag a wealthy man. So he borrows another passenger's clothes and pretends to be a man of means. And a guy from Doc's hometown whom he helped send to medical school so that their hometown can have a doctor comes on board to introduce Doc to his fiancée and tells him that he's not ...
Julie's friend sails with her fiancé only to discover her other fiancé is on board as well and has to spend the trip juggling them both; a man traveling with his elderly mother has trouble meeting a women whom his mother would approve; Gopher's personal nemesis, a difficult custom's inspector, comes aboard and makes his life even more difficult, although she may have some redeeming qualities.
A woman (Linda Cristal), tired of her fiancé's wandering eye, makes time with Dr. Bricker; two men (Dack Rambo and Ken Kercheval), who constantly compete against each other, vie for Julie's attention; Capt. Stubing's Aunt Hilly (Olivia de Havilland) comes aboard for a visit and decides the ship isn't the proper place for a young lady like Vicki.
Captain Stubing's friend, Gene Barry, is a gambler, who becomes a bad influence on Vicki; a man (Charles Siebert), who lost a lot of weight, and his fiancée, Vicki Lawrence; old-time members of a gang reunite to rob the ship's vault.
Julie has a run in with a guy who turns out to be a passenger and they butt heads. A young actress comes on board and makes a fool of Vicki. And an estranged husband and wife,one of whom is neat freak and the other a slob find themselves not only on the ship but in the same cabin.