In order to study the 2-order rogue solution of Hirota equation and its transmision, the formation mehanism of the 2-order rogue was numerical analyzed and the characteristic of the 2-order rogue wave propagation in the fiber was simulated by the fast Fourier transform. It is found that the 2-order rogue wave can be regarded as the two 1-order waves superposition. In the transmission process, the 2-order rogue wave is firstly split into two rogue waves, and the energy of the 2-order wave is reduced by half，and the distance between them is bigger but there is no mutual interference. Finally, the effects of self-steepening and self-frequency shift for 2-order rogue were numerical analyzed. The results show that self-steepening causes the energy of left wave bigger than right wave, and self-frequency shift makes the center of rogue wave nonlinear deviated, and the parameters decide the direction of deviate.