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<p/> <p>This paper is concerned with the existence of multiple positive solutions for the third-order <inline-formula><graphic file="1687-1847-2009-262857-i3.gif"/></inline-formula>-Laplacian dynamic equation <inline-formula><graphic file="1687-1847-2009-262857-i4.gif"/></inline-formula> with the multipoint boundary conditions <inline-formula><graphic file="1687-1847-2009-262857-i5.gif"/></inline-formula>, where <inline-formula><graphic file="1687-1847-2009-262857-i6.gif"/></inline-formula> with <inline-formula><graphic file="1687-1847-2009-262857-i7.gif"/></inline-formula>. Using the fixed point theorem due to Avery and Peterson, we establish the existence criteria of at least three positive solutions to the problem. As an application, an example is given to illustrate the result. The interesting points are that not only do we consider third-order <inline-formula><graphic file="1687-1847-2009-262857-i8.gif"/></inline-formula>-Laplacian dynamic equation but also the nonlinear term <inline-formula><graphic file="1687-1847-2009-262857-i9.gif"/></inline-formula> is involved with the first-order delta derivative of the unknown function.</p>