In Over the Hedge, the player controls one of three animals, who attempt to steal items and destroy construction materials from suburban homes.[1] The player must explore three-dimensional households in order to complete these objectives, while avoiding the residents and their pets.[6] If the player is spotted, they must escape from the enemy's line of sight, otherwise the player will fail the level.[1][6] Each level requires several trips to be completed.[2] Security systems must be avoided or deactivated in order to progress through each level.[6]
Each character has their own unique abilities. Verne has the strength to push and carry large items and can retract into his shell in order to avoid detection, but cannot jump as high or run as swift as the other characters. RJ has average strength and agility. He can climb, lift items and also throw Verne. Hammy is the most agile of the three, running swifter and jumping higher. This enables him to circumvent security more easily.[3][7]
Over the Hedge is presented in full 3D on both of the Nintendo DS' screens, which is not often seen in a Nintendo DS game.[4] The upper screen displays the game in an over-the-shoulder third person perspective, whereas the touch screen shows an overhead perspective. The lower screen indicates the sight range of enemies and can be used as a touch screen to target enemies to attack. The console's microphone is used to attract the attention of dogs or to rouse the woodland creatures should they be knocked unconscious.[6]