The quasi-one-dimensional compound [(CH3)3NH]CoCl3*2H2O (CoTAC) represents a canted antiferromagnet with four sublattices and Neel temperature TN=4,113 K. The CoTAC crystal has an orthorhombic symmetry with the space group Pnma. COTAC's magnetic structure consists from ferromagnetically coupled antiferromagnetic chains. A nonzero net magnetic moment in c direction is the key feature of COTAC.Relaxation processes in magnetization was measured at temperatures 2- 0.5 K along а-axis in magnetic fields up to 2 T. It was shown that relaxation processes of magnetization in this compound are motivated by domain structure and its motion. The time constants τ for CoTAC compound strongly depends on temperature and at low temperature is comparable with experiment time. For the explaining of effect of dynamic hysteresis the simple mechanism was proposed associated with a thermally activated crossing of an energy barrier whose height is reduced by the applied field. The main characteristics of magnetization dynamic process such as domain energy barriers, relaxation times, intrinsic magnetic field of domain and its volume were estimated.