Five-O is up against a sophisticated gang who have come to Hawaii to cash $750,000 of traveller's cheques.
After the murder of Police Captain Belding, his daughter, a rookie cop, is anxious to prove that the allegations of corruption against him were false. She hampers the Chief's investigations and generally gets in the way, but he takes a shine to her, and has her drafted onto the team.
After Julie picks up a blind hitchhiker, they have a flat tire and flag down a passing car for help. Unfortunately, the people in the car trick them into switching cars and abandon them in the desert.
Lucy Carter, a widow with two teen children, takes a job as a secretary for her stuffy brother-in-law.
Joe is shot and wounded while he is on a cattle drive in the Nevada desert. Two ranchers find him, delirious from thirst and the heat, and take him to their home to recover. While the ranchers summon a doctor, Joe struggles for life, mumbling incoherently and having surrealistic nightmares about a teepee and a wagon wheel. Ben and Hoss try to dechipher Joe's ramblings to piece together what happened.
Two underworld leaders, Hatcher and Thorne, have called a conference of Syndicate leaders to form a massive holding/laundering company. The IMF must obtain their joint Swiss bank account number. Jim gets in as a mobster and sabotages the tram that is the only way to the meeting. Willy slips in as a repairman and Casey lures down Thorne, whom they capture and then offer to return to Hatcher in exchange for the exact amount the mob leaders invested. He gets scammed into losing the money and Barney replaces the money in the safe with counterfeits. The IMF makes it look to Thorne like Hatcher kidnapped him then let him escape. When it is revealed the money is counterfeit Jim ""rescues"" him from being killed by the mobsters, then give Hatcher (with a weak heart) a fake heart attack as they escape down the tram. Hatcher gives Jim the bank account number and the team slips out of the tram with the $4 million while the weakened Hatcher remains behind - when he gets to the bottom he and Thorne k
Mary and Rhoda take an unplanned vacation to Mexico but have to do a strange favor for a Mexican restaurant owner for reservations.
Archie suffers his ultimate indignity when he's arrested along with a group of radicals at a protest rally.
Keith gave an interview for a magazine and revealed that Laurie has a crush on a classmate, Harry Murphy. Laurie is upset and says it is the wrong name anyway. A motorcyclist, Harry Murphy, comes to visit Laurie to see who she is as a joke.
Bobby and Cindy find their way back to camp bringing relief to a worried Mike and Carol. However, Bobby and Cindy's wanting to help the Indian boy, Jimmy, in his quest of running away to become an astronaut gets them into more trouble.
Danny and Brett try to help a girl whose ""long lost brother"" has suddenly appeared, cutting her off from her inheritance.
The Goodies help a suicidal zookeeper to locate a monster for London Zoo's Snowdon Monster House.
Felix is complaining about his nose and decides to get an operation. Oscar is ready to go out with Nancy when he lands on his ankle. Felix and Oscar both end up in the same room at the hospital. Gloria tries to take care of them when they get home.
Hannibal Heyes and Kid Curry, two of the most wanted outlaws in the history of the West, are popular "with everyone except the railroads and the banks".
A college professor suspects that his visiting aunt is an ancient witch--with designs on inhabiting his wife's body. Dr. Jekyll tries out a new potion. A callous disc jockey is offered up as a hellish sacrifice at a deserted radio station.
Sam and Darrin visit Inverness, Scotland, the place famous for the Loch Ness and its legendary monster. It seems that the monster is actually a warlock named Bruce who was transformed by Serena. To save Bruce's life, Sam calls on Serena to get him out of the spell. Once transformed, Bruce decides to get even with Serena by giving her a mermaid's tail! The reporters go crazy about the Loch Ness Monster, and Bruce wants to be a monster again. So he changes Serena back and Serena returns the favor by sending him back to the way he used to be, but with a little understanding about how important he really is.
Vic Tanaka is murdering women and painting their faces to resemble a prostitute he once knew, who is now happily married. McGarrett and his team must find the killer before he does any more damage.
A phoney cab driver is taking men to so-called parties, where they are drugged and robbed; but when one of the victims winds up dead, the Chief takes on the case. When he and his team try to follow the cab driver, however, they find that the gang are rather more dangerous than they had first appeared.