A control circuit having power limit for controlling an AC-DC voltage converter. The control circuit includes a first sensing circuit having an auxiliary winding used to sense a voltage on an inductive element of the converter to generate a first sensing signal, a second sensing circuit used to sense the current flowing through the inductive element to provide a second sensing signal, and a power limit circuit. The power limit circuit generates a power indication signal indicative of the input power of the converter based on the first sensing signal and the second sensing signal. When the power indication signal is larger than a power threshold, a controllable switch of the converter is turned off.