In our paper “Jacobi–Zariski exact sequence for Hochschild homology and cyclic (co)homology” [Homology Homotopy Appl., 14(1):65–78, 2012], in Theorem 2.3 and in all remaining results based on this theorem, it is stated that the Jacobi–Zariski long exact sequence works for the range p⩾0. The range should be corrected to p⩾1.