The Autonomic Nerve Wreath (ANW) is an important diagnostic feature in iris diagnostics. However, how to extract it against the interference of light spots, pigment spots, and eyelashes is still a problem. This study presents an ANW extraction method based on a genetic algorithm. It takes the local point density as the fitness, selects the optimal individual through roulette, and compares the genetic fitness between two adjacent chromosomes to determine the paternal parent. Experimental results show that the proposed method can avoid the interference of light spots, pigment spots, and eyelashes and thus improve the search efficiency and accuracy of the algorithm. The extracted rolling wheel is close to the actual rolling wheel.