In this paper, a numerical study on the deposition behaviour of micro-particles on a solid surface has been carried out using the CFD-DEM coupled with in-house subroutines. We introduce a particle interaction model to predict the dynamic deposition behaviour. The model predicts the formation of the dendrites and the dynamic progression of the deposition very well. For the submicro particles which are dominated by the diffusion and interception mechanism, it is found that the particles are captured by the fibers and deposited on the surface of the fiber uniformly at the initial stage. With increasing deposited particles, the small agglomerates grow up to branched dendrites. Some of the particles are distributed on the surface of the fiber and the others are distributed on the particle dendrites. The effects of inlet flow velocity, particle diameter as well as fiber diameter on the deposition morphology and the collection efficiency are investigated comprehensively. The results indicated that a high collection efficiency could be achieved at relative smaller fluid velocity and bigger particle diameter. Meanwhile, the normalized pressure drop and the velocity gradient on both sides of the fiber increase with SVF. Such an increase in the pressure drop and velocity gradient contribute to a larger collection efficiency.