Jim Newton captures a magnificent wild stallion and brings him back to the ranch. Later in town, he comes to the aid of a small boy who is falsely accused of breaking a window and brings him back to the ranch. The boy and the horse soon become fast friends.
A wild stallion is menacing all of the local ranches and freeing their horses. Neighbouring rancher Charlie Stevens thinks that Fury is to blame, but Joey has seen the white renegade stallion and must find it, because Charlie wants Fury dead for something he had no part in.
Jim has to sell some horses or lose the ranch. Pigott, the horse coper (dealer) offers to buy Fury but Jim says he is nor for sale. Later, when Joey wants to show Pigott the tricks that Fury can do, Pigott tricks Joey into being on free government land. Pigott then claims Fury and tries to get away.
A hobo gets a job as a ranch hand at the Broken Wheel Ranch. Fury gets sick and the hobo, who's really a veterinarian on the run from the law, has to decide whether to help Fury and get caught or just walk away.
The Newtons babysit Betsy, a spoiled young girl whose mother is marrying Jim's friend Bill. Betsy misses her dad, who was killed in the Korean War. Betsy's grief, anger, and hatred of Bill make her stay with the Newtons a trying time.
A wealthy gentleman rancher and his wife want to buy Fury. Fury's not for sale, declares Jim, but his resolve weakens when Joey suffers a head injury that will leave him blind unless he undergoes an immediate $5,000 surgery.
School's over for the summer and Joey doesn't have a care in the world. He convinces Pete to take him and Frankie (Mike Taylor) on a camping trip to an area far from the ranch and his plan sounds like a good one, until Dr. Walton discovers that the dog that bit Joey earlier in the week was rabid.
Jim's old friend Val Benton visits the Broken Wheel Ranch. Benton is a rodeo cowboy confined to a wheelchair following an accident, but Joey, who idolizes Benton, is convinced a miracle will allow Benton to walk again.
The Broken Wheel's mortgage holder wants to own Fury and convinces Joey to enter him into a winner-take-all horse race where Fury himself is the prize. An Irish hobo happens along and helps train Joey and Fury for their big race.
Joey and Frankie are playing pirates down by the river. They meet a real pirate (Alan Hale Jr.) with a treasure chest full of silver and gold items. The man turns out to be a thief instead of a pirate. Fury saves Joey and Frankie.
A young couple's baby daughter wanders away from their camper. Jim and Pete join the sheriff's search party. Joey, Frankie, and Fury also try to locate the little girl before the brewing bad storm blows in.