A semiconductor module includes an IGBT and a MOSFET. The IGBT is made of a silicon semiconductor. The MOSFET is made of a wide-bandgap semiconductor having a wider bandgap than the silicon semiconductor. The IGBT and the MOSFET are connected in parallel to each other to form a semiconductor element pair. The IGBT has a greater surface area than the MOSFET. The semiconductor module is configured to operate in a region that includes a low-current region and a high-current region. Electric current flowing through the semiconductor element pair is higher in the high-current region than in the low-current region. In the low-current region, the on-resistance of the MOSFET is lower than the on-resistance of the IGBT. In contrast, in the high-current region, the on-resistance of the IGBT is lower than the on-resistance of the MOSFET.