Citizen Chandler BU205 - Anthony Mackie - The Falcon and The Winter Soldier
Citizen is a partner of the series, and has released a Super Titanium Armor collection inspired by the series (see on Amazon), but this watch worn by Mackie is NOT part of that collection.
The watch worn by Anthony Mackie (who plays Sam Wilson / Falcon) is the Citizen Chandler BU2055-16E military inspired watch with green strap.
The case is black ion-plated stainless steel case, and the strap is dark green Cordura. The watch has a black dial which doubles as the solar panel Eco-Drive technology – powered by light, any light. This watch never needs a battery.
Added features include analog day/date and 12/24-hour time indicators.
The watch can for example be spotted in the first episode when the Mackie / Falcon is sitting at a table outside a bar.
Winter Soldier (played by Sebastian Stan) also wears a Citizen watch, the Citizen Brycen Chronograph model.
In the last episode of the series, we see another Citizen watch, worn by the character Isaiah Bradley (played by Carl Lumbly), see it here.