A multiple cell battery charger configured in a parallel topology provides constant current charging. The multiple cell battery charger requires fewer active components than known serial battery chargers, while at the same time preventing a thermal runaway condition. The multiple cell battery charger in accordance with the present invention is a constant voltage constant current battery charger that includes a regulator for providing a regulated source of direct current (DC) voltage to the battery cells to be charged. The battery charger also includes a pair of battery terminals coupled in series with a switching device, such as a field effect transistor (FET) and optionally a battery cell charging current sensing element, forming a charging circuit. In a charging mode, the serially connected FET conducts, thus enabling the battery cell to be charged. The FETs are controlled by a microprocessor that monitors the battery cell voltage and cell charging current and optionally the cell temperature. The microprocessor periodically adjusts the charging current of each cell to maintain a relatively constant current. When the microprocessor senses a voltage or temperature indicative that the battery cell is fully charged, the FET is turned off, thus disconnecting the battery cell from the circuit. Accordingly, the battery charger in accordance with the present invention utilizes fewer active components and is thus less expensive to manufacture than known battery chargers configured with a serial topography while at the same time providing constant current charging to avoid a thermal runaway condition.