An induction logging inversion algorithm based on the Differential Evolution (DE) was proposed to avoid the dependency of initial model. This inversion algorithm was applied to induction logging inversion on the 2-D axisymmetric models of different thickness layers, and yielded consistent results with the models in the noise-free case. When noises of 5%, 10% and 15% were added, the inversion results of thick reservoir remain fairly good but the results of thin reservoir became slightly inferior. The numerical experimental results demonstrate that the proposed inversion algorithm has the capabilities of global optimization and anti-noise. It is more independent of initial model than the traditional ones.