The present application relates to a top cover structure for a power battery and a power battery, the top cover structure includes a first electrode assembly, a second electrode assembly, a first resistor, a second resistor, a top cover plate, a first short circuit component and a second short circuit component, the first electrode assembly is electrically connected with the top cover plate through the first resistor for all time, the first short circuit component and the second short circuit component are both attached onto the top cover plate, when an internal pressure of the power battery exceeds a reference pressure, the first short circuit component and the second short circuit component deform by effect of pressure, so as to form a first electrical connecting path and a second electrical connecting path, the second resistor is connected into the first electrical connecting path in series.