The question we try to answer in this talk is how the intermittency of a turbulent flow affects the coagulative growth of particles. The coagulation process is governed by a nonlinear Smoluchowski equation with random coefficients. We deal with a classical Kolmogorov isotropic turbulence, the intermittency being a lognormal random field. We found a homogenisation regime, and figured out conditions which ensure the homogenisation. However in the most practically interesting case the homogenisation fails, and it is necessary to find the statistical characteristics numerically. Our analysis is based on a probabilistic interpretation of the coagulation process which results in an effective Monte Carlo procedure. Numerical calculations show that the intermittency may affect the particle's growth drastically. Another very intereting issue is the existence of a gelation phenomena: for some coagulation regimes it may happen that one supercluster occurs, and the law of conservation fails. We analysed the distribution of the random gelation time.