In this thesis, we introduce random elements into the Cucker-Smale(C-S) model and provide quantitative analyses for those uncertainties. In real applications of the Cucker-Smale dynamics, we can expect that the C-S model contains some intrinsicuncertainties in itself and misses some extrinsic factors that might affect the dynamics of particles. Thus, to provide a better description for the dynamics of a C-S ensemble, one needs to incorporate such uncertain factors to the model and evaluate theireffects on the dynamics or stability of the C-S system. To fulfill this, we first consider the macroscopic version of the Cucker-Smale model. Namely, we introduce random inputs from communication weights and initial data into the hydrodynamic Cucker-Smale (HCS) model to yield the random HCS model. Furthermore,we address extrinsic uncertainties in the microscopic and mesoscopic level, respectively. For a microscopic model, we introduce a randomly switching network structure to the Cucker-Smale model and investigate sufficient conditions for the emergence of flocking. As a mesoscopic model, weconsider the kinetic Cucker-Smale equation perturbed by multiplicative white noise, and study the well-posedness and asymptotic dynamics of solutions.