A method of controlling a switching converter having a plurality of interleaved parallel branches, can include controlling conduction phases of power switches of the plurality of interleaved parallel branches to be overlapped when a load changes from a light load to a heavy load, in order to improve dynamic response performance of the switching converter. A control circuit for a switching converter with a plurality of interleaved parallel branches, can control conduction phases of power switches of the interleaved parallel branches to be overlapped when a load changes from a light load to a heavy load, in order to improve dynamic response performance of the switching converter.