<p>Since the mass of wind turbine blades (WTBs) is increasing with the demand for wind energy, more attention is being paid to the topology optimization of WTBs to obtain an optimal structure which can reduce mass while retaining shape. An innovative level set method based on conformal geometry theory is proposed in this paper for the topology optimization of the leading edge of WTBs. The leading edge is transformed to a Euclidean 2D domain using conformal mapping. This allows the topology optimization problem of the leading edge to be treated as a 2D problem, and the optimization is conducted within this 2D domain. From the optimized result in the 2D domain, the optimal design of the leading edge is obtained. The proposed level set method significantly simplifies the computational complexity of the optimization process while preserving the advantages of traditional level set methods and offers a promising research approach for topology optimization of WTBs.</p>