In this paper, we propose a VLSI implementation method for one-dimensional discrete wavelet transform (1D-DWT) filter bank based on the GALS systems approach. An asynchronous wrapper, which includes two data communication ports and a local clock controller, is designed for the asynchronous data communication between the locally synchronous filtering modules in the wavelet filter bank. The detailed design methodology for the GALS architecture of ID-DWT filter bank is presented, and the circuits are validated with VHDL and implemented with standard CMOS technology.