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CdZnTe (CZT) detectors are promising detectors, which have many good characteristics such as room temperature operation, reasonable energy resolution, high-detection efficiency to gamma rays, etc. However, energy resolution of CZT is governed by poor mobilities of charge carriers. Many researchers have tried to solve this problem. Among them, a clustering method has been recently proposed which is based on a digital signal processing of preamplifier output waveforms. In this method, we can classify signals according to their shapes and independently treat different shapes. In this paper, we report a new clustering algorithm with adaptive shaping time. The obtained energy resolution for 137Cs was improved to 5.4-keV full width at half maximum (FWHM) by applying this method.