An electric waste gate valve control device controls a waste gate valve provided in a waste gate passage that bypasses a portion between an upstream and a downstream of a turbine driven by exhaust of an engine and opening/closing the waste gate passage by an electric actuator. The electric waste gate valve control device includes: a position sensor that detects a position of the waste gate valve; an actuator controller that controls the electric actuator such that an opening degree of the waste gate valve becomes a target opening degree; and a fully closed position learning unit that performs fully closed position learning to acquire the position of the waste gate valve at a time when the electric actuator is driven to bring the waste gate valve into a fully closed state.