Inspired by wavelet threshold denoising, this paper sets up the wavelet filter bank suitable for threshold denoising, following the parametric construction of fixed-length tightly-supported (FLTS) biorthogonal wavelet. Firstly, the length, symmetry and vanishing moment features of the wavelet were selected from the sequence of high-pass decomposition filters, and the proportional relationship within the sequence was configured. Next, a set of parametric filter bank expressions were derived from the said conditions and relationship. The parametric construction approach can adjust the sequence length and symmetry, and change the scale factor and sign function. The constructed wavelets were simulated on two noisy images with the global threshold denoising (GTD) and self-adaptive hierarchical threshold denoising (SAHTD). The simulation results show that the constructed wavelets can remove noises from the original image while preserving most image details. Combined with the SAHTD, the proposed wavelet construction method can greatly improve image quality and the signal-tonoise ratio (SNR).