When an asteroid threatens to collide with Earth, NASA honcho Dan Truman determines the only way to stop it is to drill into its surface and detonate a nuclear bomb. This leads him to renowned driller Harry Stamper, who agrees to helm the dangerous space mission provided he can bring along his own hotshot crew. Among them is the cocksure A.J. who Harry thinks isn't good enough for his daughter, until the mission proves otherwise.

In response to political pressure from Senator Lillian DeHaven, the U.S. Navy begins a program that would allow for the eventual integration of women into its services. The program begins with a single trial candidate, Lieutenant Jordan O'Neil, who is chosen specifically for her femininity. O'Neil enters the grueling training program under the command of Master Chief John James Urgayle, who unfairly pushes O'Neil until her determination wins his respect.

When vengeful General Francis X. Hummel seizes control of Alcatraz Island and threatens to launch missiles loaded with deadly chemical weapons into San Francisco, only a young FBI chemical weapons expert and notorious Federal prisoner have the stills to penetrate the impregnable island fortress and take him down.