[en] The magnetic properties of the DyZn₂ have been studied by ¹⁶¹Dy Moessbauer effect measurements at temperatures from 5.0 to 77.4 K. The spectra are interpreted with a single set of hyperfine parameters. The magnetic hyperfine field is 837 MHz at 5 K, which is very close to the value of Dy³⁺ free ion. Since the relaxation rate increases rapidly as the temperature increases, no accurate hyperfine parameters are obtained analytically near T_N. The width of the Lorentzian absorption lines increases at the temperatures at which the magnetic structure is an incommensurable moment-modulated one. Anomalies in the γ-ray transmission rate at zero velocity are observed at 29 and 38 K which are the commensurate-incommensurate transition and the Neel temperatures, respectively. Another anomaly observed around 60 K may originate in a short-range order of Dy moments. (orig.)