A tri-chamber nutating pump is disclosed which includes two pump chambers disposed within a pump housing that accommodates a nutating piston. A reciprocating compensating piston is also provided with its own compensating housing that is connected to the outlet. As a cumulative output from the first two pump chambers reaches its maximum level, the compensating piston is pushed into the outlet or through a passage to reduce the output of the first two chambers and avoid splashing. As the output from the first two chambers reaches its minimum level, the compensating piston is withdrawn from the outlet or through a passage thereby increasing the output of the third chamber to its maximum level when the output from the first two pump chambers reaches its minimum level.