Richard Kimble rides into Tucson, Arizona under the name James Lincoln. He checks into a hotel and finds a job as a bartender at the Branding Iron. He meets Monica Welles (Vera Miles), the piano player who escaped from her stalking jealous husband (Ed Welles) played by Brian Keith.

On the run from the Nevada State Police, Kimble hitches a ride with Sister Veronica, a nun traveling to Sacramento where she plans to renounce her vows. After fixing her car when it breaks down, Kimble agrees to travel with Veronica only to the nearest train station. But Veronica belives Kimble to be her savior and insists that he tag along with her all the way to Sacramento.

Kimble and Sister Veronica continue their journey to Sacramento, unaware that the Nevada State Police have put up a roadblock at the state line. While Kimble deals with a disgruntled ranch hand, named Chuck Mathers, whom suspects his true idenity, Sister Veronica accidently discovers Kimble's idenity through a TV news report. But she does not tell Kimble about her knowledge of who he really is.

While working as a handyman in the predominantly Hispanic fishing village of Puerto Viejo, Kimble becomes aware that the area is beset with a plague epidemic and he's forced to call the state health inspector to have the entire area quarantined. But he soon finds himself trapped when the local doctor suspects his true identity and the irate villagers set out to find him.

An industrial accident traps Kimball and some government workers underground. A member of the trapped group wants to turn Kimball in as soon as they are rescued. To add to Richard's problems, Lt. Gerard is waiting above at the only exit.

Kimble finds himself working with Hallie, a woman who bears a strong resemblance to his late wife. Hallie knows of the resemblance, and Kimble's danger is increased when Hallie's husband becomes jealous.

Kimball takes advantage of a deadly car accident as a way to try and convince Gerard that he is now dead.

A scam artist posing as a psychic goes on TV to prove that he knows where Kimble will appear next-with a little help from an accomplice who is traveling with Kimble.

Kimble is working as a chauffeur for George Forster, a successful contractor who returns to his small Midwestern home town with big plans for the community. While Forster's homecoming is greeted by overall apathy and resentment, Kimble discovers that one of the townspeople is planning to kill Forster. Kimble must find out who it is before his secret is discovered

In Part 1 of a 2-part story, Lt. Gerard and his wife are on a much-needed vacation. When Gerard rushes off to answer the call to duty, an angry Mrs. Gerard decides that enough is enough, and leaves town on the bus. Unbeknownst to her, Kimble is on the same bus. When the bus crashes, Kimble helps her get away from the wreck. Due to a head injury, she is suffering from temporary blindness and doesn't recognize Kimble. Kimble, unaware of who SHE really is, decides to accompany her to a phone where she can contact her husband. Along the way Mrs. Gerard starts asking questions, and is starting to form an image of Kimble, and is intrigued with what she learns. Will she discover his true identity before they reach their destination?

In the conclusion to Part 1 (from last week), Kimball accompanies a temporarily-blinded Mrs. Gerard to a place where she can phone her husband for help. Mrs. Gerard, who is as inquisitive as her husband, continues to pepper Kimball with questions about himself and his life. As she starts to put the pieces together, she realizes that this man may be Richard Kimball. She begins to form a plan to trap him.