Spin-lattice and spin-spin relaxation times of paramagnetic centres in initial and partly oriented trans-polyacetylene have been measured by a saturation method at 2 mm waveband EPR in the 90-300 K temperature range. Temperature dependences of the intrachain diffusion and interchain hopping rates of the paramagnetic centres in the latter samples are evaluated. Spin dynamics in the oriented sample has been shown to depend on its orientation in a magnetic field and is in good agreement with Kivelson's theory of charge transport in trans-polyacetylene via intersoliton electron hopping. Temperature evaluation of the neutral soliton width has been investigated