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 (614,635,636) 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 (635,636) 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 (614,635,636) 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 (635,636) 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.