An apparatus and method for testing a circuit board included in a battery management system. The circuit board includes a first test point connected in common to one end of a first resistor, one end of a first capacitor and one end of a second resistor; a second test point connected in common to the other end of the second resistor and one end of a second capacitor; a third test point connected to the other end of the first resistor; and a fourth test point connected in common to the other end of the first capacitor and the other end of the second capacitor. The apparatus determines an open-circuit fault of at least one of the first capacitor and the second capacitor based on a first diagnosis voltage between the first and fourth test points and a second diagnosis voltage between the second and fourth test points.