Suunto Core Alu Deep Black - Ryan Phillippe - Shooter
The watch can be seen in Episode 4 of Season 1. The exact model is hard to tell based on the photo the watch, but it seems to be the Suunto Core Alu Deep Black.
Functions of this watch include Altimeter, Barometer, Compass, Temperature, Storm alarm, Sunrise / sunset, Depth meter for snorkeling, Multiple watch, date and time functions, User-replaceable battery, Multilingual menu (EN, FR, DE, ES).
In the series, Ryan Phillippe plays Force Recon veteran Bob Lee Swagger.
Shooter is a USA Network tv series, based on the novel Point of Impact by Stephen Hunter. The series premiered on November 15, 2016.