A rotary electric machine comprising: a rotary electric machine main body having a stator , a rotor that rotates relative to the stator about an axis, a fan provided on an axial direction end portion of the rotor , and a frame that supports the stator and the rotor ; a rectifying device attached to the frame about the axis, and disposed on an axial direction outer side of the rotary electric machine main body ; and a cover covering the rectifying device , wherein the cover includes a cover end wall portion positioned on the axial direction outer side of the rectifying device , a cover outer wall portion positioned on a radial direction outer side of the rectifying device , and a cover intermediate portion interposed between the cover end wall portion and the cover outer wall portion , the cover end wall portion includes an inner peripheral side intake portion , the cover intermediate portion includes an outer peripheral side intake portion , the outer peripheral side intake portion includes an axial direction covering portion existing in a position that is closer to the rotary electric machine main body than the cover end wall portion in an axial direction, and a radial direction covering portion that connects the axial direction covering portion to an outer peripheral portion of the cover end wall portion , intake holes are provided respectively in the inner peripheral side intake portion , the axial direction covering portion , and the radial direction covering portion , and characterized in that a total surface area of the intake holes provided in the respective outer peripheral side intake portions is larger than a total surface area of the intake holes provided in the inner peripheral side intake portion such that a speed of the cooling air taken into the cover through the outer peripheral side intake portions is lower than a speed of the cooling air taken into the cover through the inner peripheral side intake portion . a rotary electric machine main body having a stator , a rotor that rotates relative to the stator about an axis, a fan provided on an axial direction end portion of the rotor , and a frame that supports the stator and the rotor ; a rectifying device attached to the frame about the axis, and disposed on an axial direction outer side of the rotary electric machine main body ; and a cover covering the rectifying device , wherein the cover includes a cover end wall portion positioned on the axial direction outer side of the rectifying device , a cover outer wall portion positioned on a radial direction outer side of the rectifying device , and a cover intermediate portion interposed between the cover end wall portion and the cover outer wall portion , the cover end wall portion includes an inner peripheral side intake portion , the cover intermediate portion includes an outer peripheral side intake portion , the outer peripheral side intake portion includes an axial direction covering portion existing in a position that is closer to the rotary electric machine main body than the cover end wall portion in an axial direction, and a radial direction covering portion that connects the axial direction covering portion to an outer peripheral portion of the cover end wall portion , intake holes are provided respectively in the inner peripheral side intake portion , the axial direction covering portion , and the radial direction covering portion , and characterized in that a total surface area of the intake holes provided in the respective outer peripheral side intake portions is larger than a total surface area of the intake holes provided in the inner peripheral side intake portion such that a speed of the cooling air taken into the cover through the outer peripheral side intake portions is lower than a speed of the cooling air taken into the cover through the inner peripheral side intake portion . <EOS>