The tracking problem for a class of differential inclusion systems is investigated. Using global sliding mode control approach, a tracking control is proposed such that the output of a differential inclusion system tracks the desired trajectory asymptotically.An extensive reaching law is proposed to achieve the chattering reduction. Finally, an example is given to illustrate the validity of the proposed design. The tracking problem for a class of differential inclusion systems is investigated. A global tracking mode control approach is proposed such that the output of a differential inclusion system tracks the desired trajectory asymptotically. Annually reaching law is proposed to achieve the chattering reduction. Finally, an example is given to illustrate the validity of the proposed design.