We have achieved broadband parametric generation by using a quasi-periodically poled LiTaO(3) crystal as frequency converter. Tuning wavelength rang from 0.609 microm to 5.208 microm, which covered three quasi-phase-matching processes, was obtained by means of changing the pump wavelength from 0.530 microm to 1.184 microm. The experiment results are in good agreement with theory. The maximum conversion efficiency is 62% with a 10 Hz-5 ns pump source, at the average pump power of 0.5 mW. Our results exhibit a possible application of quasi-periodic superlattice in laser technology.