An electric drive device and an electric power steering device are provided that reduce the size of a motor in an axial direction parallel to a shaft and in a radial direction of the shaft. The electric drive device includes a bus bar module in which a connector, a first power supply terminal, a second power supply terminal, positive electrode bus bar wiring that electrically connects the connector to the first power supply terminal, and negative electrode bus bar wiring that electrically connects the connector to the second power supply terminal are integrally formed with the connector. The positive electrode bus bar wiring and the negative electrode bus bar wiring extend from the connector, bypass an extended line of the shaft, and are electrically connected to the circuit board in positions at distances from the connector larger than a distance from the connector to the extended line of the shaft.