A drink container for small children includes a container, a lid joined to an upper opening of the container, and a drip prevention element. The lid has a sucking portion for allowing a young child, to suck on to draw out drink contents of the container with the mouth. The lid is formed with a passage for allowing drink contents of the container to pass through. The drip prevention element is arranged in a passage of the lid to block the passage when there is no external sucking force exerted on the sucking portion, and which can bend to effect opening of the passage when there is external sucking force exerted on the sucking portion. Thus, liquid contents can't drip through the lid when a young child is learning to grasp objects with the drink container.