A method of promoting efficient water drinking by animals uses any one of a number of container embodiments. A first embodiment of container contemplates five sub-chambers separated from one another by parallel partitions, with each partition having a small weep hole near its bottom to equalize water level in each sub-chamber. Each sub-chamber has an elongated length dimension and a width that is relatively narrow and designed to approximate the width of an animal's tongue. When an animal is drinking water from one of the sub-chambers of this embodiment, as the tongue is lapping, the sides of the tongue are close to the inner walls of the sub-chamber, thereby precluding some of the water resting on the tongue from falling off the tongue as the water is lifted into the animal's mouth. In this way, the efficiency of drinking using the lapping technique is enhanced. In a further embodiment, a second sub-chamber provides a reservoir for replenishing the first sub-chamber as it drains down through a small weep hole near the bottom of a common wall between the sub-chambers. The second sub-chamber may be designed to receive an inverted bottle filled with water so that continuous replenishment of the drinking sub-chamber through a weep hole connecting the supply sub-chamber may be accomplished.