This paper presents an explicit parameterization of all deadbeat tracking controllers for multi-input multi-output (MIMO) control system. The advantages over the previous results are as follows: Firstly the class of the reference inputs for which deadbeat tracking is achieved is generalized. Secondly the class of all deadbeat tracking controllers is characterized by completely free polynomial matrices in an explicit form. Thirdly the design method consists of some simple polynomial matrix equations and the reduction to the Hermite form of some polynomial matrices, while the previous method involves some troublesome calculations, e.g., the reduction to the Smith-McMillan form of rational function. Therefore, the computational efforts are reduced compared with the previous algorithm.