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A method for constructing rotation surfaces with local shape parameters was proposed to solve the problems in adjusting and controlling shapes of rotation surfaces. Based on the transfinite vectored rational interpolating function, the quartic λ-Bézier rotation surfaces with multiple shape parameters were constructed using a quartic λ-Bézier curve. Then, the explicit function expression of the quartic λ-Bézier rotation surfaces was presented. The proposed quartic λ-Bézier rotation surfaces inherited the outstanding properties of the Bézier rotation surfaces, and had a good performance on adjusting their local shapes by changing the value of shape parameters. Finally, some properties of the quartic λ-Bézier rotation surfaces and applications in rotation surfaces design were discussed. The modeling examples showed that the proposed method was simple and effective, and easy to control the shape of rotation surfaces, which provided a valuable way for the design of rotation surfaces.