In this work, the effects of vector unparticle on the process e e U in the Randall - Sundrum model is studied. Specifically, we calculate the crosssection for the process e e U by s-channel and evaluated the cross-section asa function of the center of mass energy s , cosine of scattering angle , scalingdimentionand the square of unknown coefficient of the unparticledU CU 2 operator OU . Our results reveal that the cross-section changes strongly when1.9 2.0 dU and its value is in the high energy domain much larger than the lowenergy domain. The cross-section increases when C C C 2 U Z 2 2 . The differentialcross section has a maximum value at cos 1 and a minimum value at cos 0