Multivariate statistical modelling is used to investigate complex economic systems in cases when random values are characterized as arbitrary (nonparametric). When modelling the financial stability of the logistic firm (LF) and transport logistics system (TLS) in general, it is most essential to detect the statistical character of the interrelationships among all participants (subsystems) of TLS. In real systems these interrelationships are intercorrelated. In this case when modelling the financial stability of TLS and the statistical character of interrelationships it would be rational to use copula as a tool. Use of copula method makes it possible to approximate joint distribution of the significant factors of the TLS. On the basis of the copula model obtained it is possible to estimate the behaviour of the investigated TLS in relation to probabilities and therefore its expected values that is not possible to do with classical methods.