The article presents an ontological analysis of games. In every game one could distinct four constitutive elements: players, game rules, material substratum of the game and intentional world of the game. The last element correspond with make-believe quality of games. These are two kinds of acts of playing (creating the world of the game): performative and kinetic. The article presents an analysis of these two kinds of acts of playing and present the division of games (performative-based/kinetic-based) which is ontologically fundamental and sets two radically different groups of games. Kinetic games are based on physical, kinetic aspect of the player’s bodies and material tools they use in the game. Performative games are based on transmission some pieces of information. This division enable us to indicate some non-trivial facts about games, like implicit presence of laws of physics in kinetic games or double character or rules in performative games. Interesting fact is that although these two groups of games are very different in the terms of kinds of acts of playing (and also kinds of effort connected with these acts) there is at least one performative-kinetic hybrid game – chessboxing.