This is a mode offered mostly by shooter type games, but is also known to exist in strategy games (e.g. Ground Control). There are one or more positions on the map, that have to be taken over. While holding such a position, you are either getting points, accumulating until a certain winning condition is met (points reached, time limit hit), or the other way around, teams start with a number of points that are slowly reduced (e.g. Battlefield 2041). This mode requires a certain amount of team play, to capture spots.
This mode is available e.g. for Unreal Tournament and Toxikk.
A variation of this mode is the Double Domination mode.