Hilbert-Huang transform is an efficient non-stationary signal analysis tool. In its processing, two aspects are included: (i) empirical mode decomposition; (ii) Hilbert spectral analysis. In 2012, Li, Tao and Wang proposed a generalized Hilbert-Huang transform associated the linear canonical transform, so as to obtain a more flexible tool. In this paper, a new Hilbert-Huang transform associated with the linear canonical transform is proposed.