The anomalous characteristics of azimuth change were analyzed with earthquake cases using the geoelectric field dominant azimuth method to calculate the geoelectric field data of Jiangyou, Yanyuan, and Chengdu stations in Sichuan Province. Several results were obtained. (1) Since April 6, 2019, obvious abnormal changes have occurred in three directions at Jiangyou station, in which the dominant azimuth (Δα) range of two directions has gradually narrowed and that of one direction has increased. (2) Since August 1, 2021, the Δα ranges in five directions at Yanyuan station have decreased gradually. (3) Since March 1, 2021, the Δα range of five directions at Chengdu station has obviously changed, among which the Δα range of four directions has been gradually reduced, and that of one direction has been gradually increased. (4) The case study shows that the dominant azimuth anomalies of the stations have certain indicative significance for moderate-strong earthquakes within 250 km around the stations. The Δα range of the three stations all showed abnormal decreasing characteristics, and the earthquakes occurred about 5 months or even longer after the anomalies. Thus, the geoelectric field dominant azimuth method may show a medium-and long-term indication ability in this area. (5) Furthermore, the abnormal changes observed at three stations before the earthquakes reflect the changes in rock fractures near the sites. As the regional tectonic stress increases, the rock fractures near the station develop, exhibiting an orderly arrangement of structural variation.