A motor-driven Roots pump, comprising: a housing; a drive shaft and a driven shaft that are rotationally supported by the housing, the drive shaft and the driven shaft having axial lines (L1, L2) that are parallel with each other; a drive gear that is fixed to the drive shaft; a driven gear that is fixed to the driven shaft and meshes with the drive gear; a drive rotor that is provided on the drive shaft; a driven rotor that is provided on the driven shaft and meshes with the drive rotor; an electric motor that is configured to rotate the drive shaft; a motor chamber that is defined in the housing and accommodates the electric motor; a gear chamber that is defined in the housing and accommodates the drive gear and the driven gear, oil being sealed in the gear chamber; and a rotor chamber that is defined in the housing and accommodates the drive rotor and the driven rotor, wherein the motor chamber, the gear chamber, and the rotor chamber are arranged in order along the axial line, the housing includes a first partition that separates the gear chamber and the motor chamber from each other in an axial direction of the drive shaft and includes a first defining surface that defines the gear chamber, and a second partition that separates the gear chamber and the rotor chamber from each other in the axial direction and includes a second defining surface that defines the gear chamber, when viewed in the axial direction, an addendum circle of the drive gear and an addendum circle of the driven gear intersect with each other at a first intersection point and a second intersection point, a plane that includes both of the axial line of the drive shaft and the axial line of the driven shaft is defined as an imaginary plane, the first intersection point is located on a side of the imaginary plane on which the drive gear and the driven gear start meshing with each other, and the second intersection point is located on a side of the imaginary plane on which the drive gear and the driven gear finish meshing with each other, characterized in that the housing further includes a relief recess (61, 65) that opens in at least one of the first defining surface and the second defining surface, and in that an opening of the relief recess (61, 65) is opposed to the first intersection point and is arranged in a region on a side of the imaginary plane on which the first intersection point is located. a housing; a drive shaft and a driven shaft that are rotationally supported by the housing, the drive shaft and the driven shaft having axial lines (L1, L2) that are parallel with each other; a drive gear that is fixed to the drive shaft; a driven gear that is fixed to the driven shaft and meshes with the drive gear; a drive rotor that is provided on the drive shaft; a driven rotor that is provided on the driven shaft and meshes with the drive rotor; an electric motor that is configured to rotate the drive shaft; a motor chamber that is defined in the housing and accommodates the electric motor; a gear chamber that is defined in the housing and accommodates the drive gear and the driven gear, oil being sealed in the gear chamber; and a rotor chamber that is defined in the housing and accommodates the drive rotor and the driven rotor, wherein the motor chamber, the gear chamber, and the rotor chamber are arranged in order along the axial line, the housing includes a first partition that separates the gear chamber and the motor chamber from each other in an axial direction of the drive shaft and includes a first defining surface that defines the gear chamber, and a second partition that separates the gear chamber and the rotor chamber from each other in the axial direction and includes a second defining surface that defines the gear chamber, when viewed in the axial direction, an addendum circle of the drive gear and an addendum circle of the driven gear intersect with each other at a first intersection point and a second intersection point, a plane that includes both of the axial line of the drive shaft and the axial line of the driven shaft is defined as an imaginary plane, the first intersection point is located on a side of the imaginary plane on which the drive gear and the driven gear start meshing with each other, and the second intersection point is located on a side of the imaginary plane on which the drive gear and the driven gear finish meshing with each other, characterized in that the housing further includes a relief recess (61, 65) that opens in at least one of the first defining surface and the second defining surface, and in that an opening of the relief recess (61, 65) is opposed to the first intersection point and is arranged in a region on a side of the imaginary plane on which the first intersection point is located.