EN
Investigations of temperature dependence of a nuclear quadrupole spin-lattice relaxation time of ^{79}Br nuclei in ferroelectric (CH_{3})_{4}NCdBr_{3} are presented. It is shown that in paraelectric phase in the vicinity of phase transition temperature relaxation process is determined by critical fluctuations of electric field gradient. In ferroelectric phase relaxation is related to three different mechanisms, namely: lattice vibrations, CH_{3¯} group reorientations and TMA cation motions. According to the results of measurements it is concluded that the phase transition is connected with ordering of TMA cations.