A waveform equalization apparatus includes an A/D converter, a waveform equalizer, a training sequence generator, a clock recovery circuit, multiple matched filters, and a clock optimization logic. The A/D converter oversamples a reception signal in synchronization with a base clock signal and generates an A/D converted data sequence. The waveform equalizer performs an arithmetic operation to equalize a waveform. The training sequence generator generates a data sequence for training. The data sequence for training is used instead of an output data of the detector so as to converge a coefficient used in the arithmetic operation in advance. The clock recovery circuit supplies the base clock signal without executing a clock recovery operation during a training period, and executes the clock recovery operation according to the output data of the detector. The matched filters receive the A/D converted data sequence, and execute a filter arithmetic operation.