dnd 5e – Does a Fighter’s Action Surge stack with the Haste action?

A fighter, once per rest, can use Action Surge to gain an additional action on his turn.

The target of a Haste spell also gains an additional action on his turns (until the spell ends).

If a fighter is Hasted by a fellow mage and then uses his Action Surge, does he gain two additional actions on his turn (for a total of 3 actions, plus the eventual bonus action & reaction) ?