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.
Suggested retail price is $429, but you can find it on Amazon for $246.
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.