In this paper, we establish the weak factorizations of the Hardy space associated with the Dunkl operator via the bilinear forms of Dunkl–Riesz transforms \(\{{\mathcal {R}}_{j}\}_{j=1}^{d}.\) Note that the kernels of \(\{{\mathcal {R}}_{j}\}_{j=1}^{d}\) involve both the Euclidean and the Dunkl metrics, which are not equivalent. As an application, we provide a new proof for the sufficiency of characterization of the \({\textrm{BMO}}\) space associated to the Dunkl operator via the commutators of \(\{{\mathcal {R}}_{j}\}_{j=1}^{d}.\)
