An elliptical coordinate transformation was chosen to produce an elliptical cylindrical quantum cloak. Since an ellipse can become to a circle geometrically, research on elliptical quantum cloak provides another way to test the feasibility of the quantum cloak. In this study, it was shown that the effective mass of an elliptical cylindrical quantum cloak is simpler than an circular cylindrical one. Hence, an elliptical quantum cloak is easier to achieve experimentally.