There is little research on the aerodynamic force and galloping characteristics of iced conductors under skew wind. By considering the geometric relationship between elevation angle, yaw angle, and wind incidence angle, expressions for the aerodynamic forces (drag, lift, and torque) of conductors under skew wind were derived. These expressions accounted for the effects of relative attack angle, yaw angle, and relative wind speed changes on aerodynamic forces during the conductor’s motion. A balance connection device with adjustable tilt and attack angles was developed, and high-frequency balance wind tunnel tests were conducted to obtain the three-dimensional aerodynamic coefficients in the full range of wind attack angles of a crescent-shaped iced conductor under different yaw angles. The results show that the increase of yaw angle reduces the drag coefficient, but simultaneously weakens the sharp peaks of the lift and torque coefficients versus the wind attack angle; Both Den Hartog criterion and the system’s equivalent damping ratio reflect that increasing the yaw angle improves the conductor’s galloping stability. Numerical simulations of galloping responses for a 500 m span crescent-shaped iced conductor under different yaw angles show that the wind speed projection method is only applicable within a limited range of yaw angles (≤15°); Increasing the yaw angle significantly lowers the aerodynamic negative damping value, thereby reducing the galloping divergence speed and amplitude. Moreover, there exists a critical yaw angle beyond which the conductor will not gallop under skew winds exceeding this angle. Therefore, in line design, reducing the angle between the line direction and the dominant wind direction during the ice-covered period can effectively reduce the risk of galloping.