Jumper.

About Jumper

Jumper is a 1992 science fiction novel by Steven Gould. The novel was published in mass market paperback in October 1993 and re‑released in February 2008 to coincide with the release of the film adaptation. It tells the story of David, a teenager who escapes an abusive household using his ability to teleport. As he tries to make his way in the world, he searches for his mother, develops a relationship with a woman from whom he keeps his ability secret, and is eventually brought into conflict with several antagonists.