The authors report Mossbauer measurements between 1.2 and 300 K for caesium cobalt chloride (CsCoCl₃) doped to 1 at.% with ⁵⁷Fe. CsCoCl₃ is a pseudo-one-dimensional Ising-like antiferromagnet; the Co²⁺ ions are arranged in chains parallel to the hexagonal c axis. The Mossbauer spectra are consistent with the generally accepted magnetic structure of CsCoCl₃, namely a transition to a partially three-dimensionally ordered state at 21 K and to complete three-dimensional ordering at 8.5 K. The spectra showed evidence of relaxation, and were fitted using the stochastic model of Blume and Tjon (1968). Two different relaxation processes occurring simultaneously could be distinguished in the spectra between 8.6 and 20 K, namely relaxation between the lower Fe²⁺ electronic states (in those Fe²⁺ ions in the three-dimensionally ordered chains) and magnetic HF field reversal (in those Fe²⁺ ions in the one-dimensionally ordered chains). The latter process could be attributed to solitons moving along the chains; the first process did not appear to be soliton-induced. The Mossbauer parameters could be explained reasonably well using a set of temperature-independent crystal-field parameters.