The pic also stars Rosamund Pike, Richard Jenkins and Werner Herzog.
Christopher McQuarrie is directing from a script he penned.
The book series by Lee Child follows Jack Reacher, a former military policeman turned drifter. In “One Shot,” Reacher investigates the case of a sniper accused of murdering five people before being captured.
Cruise and David Ellison will produce along with Don Granger, Paula Wagner, Dana Goldberg and Gary Levinsohn through Mutual Film Company and Cruise/Wagner Prods.
Helman was most recently seen in the HBO miniseries “The Pacific.”
He is repped by Gersh and Kass/Stokes Management.