Description from the publisher
In Kaiju Crush, you play as one of 2 to 4 giant monsters who have descended on the same city to fight for supremacy. On your turn, use either your own Movement Card or a Shared Movement Card to land your Monster on a new City Tile (crushing it). You’ll pick up that City Tile and drop one of your Territory Markers in its place. Both the City Tile and the Territory Marker help you gain points based on the Objective Cards.
Points are also generated by fighting either a Monster on an adjacent space or a Monster occupying a Territory Marker. Each Monster also has their own unique fighting ability as well as Special Abilities that change every game. Winners of either type of battle gain a random Combat Victory Token worth 1 to 3 points. Winners of Territory Battles also replace the current Territory Marker with their own, which may help meet objectives as well as thwart opponents. When no Monster can move, the game is over, and the Monster with the most victory points is supreme!