New approach for the analysis of the incoming flow of cruise or ferry ships, taking into account the division into sizes and the formation of new signs of berths "priority", is proposed. To solve the problem of multiscenario modeling it is proposed to use Poisson and normal distributions. Also, in order to extend the model of ship requests prioritization, it is proposed to consider the situation when the intervals between ship calls in the flow of ships obey gamma distributions that take into account the after-effects of the flow. The reference data in this paper are the known intensities of operation of the Passenger Port of St. Petersburg "Sea Façade" during the navigation period. To verify the results, the data for the maximum monthly load of the sea passenger port are chosen. The performed analysis of berths loading is presented in the paper and the data on intervals between cruise and ferry ships are investigated. To solve the problem of "multiscenario modeling", a new digital model of the sea passenger port is presented. The digital model aims at solving the problems of "sea cruise/ferry line -sea passenger port/ terminal" systems research, taking into account the possibility of dynamic change of parameters by the intensity of work. The justification of using "optimization experiment" is presented; the results of the research performance both without the "priority" parameter and taking into account the "priority", as well as the results of the runs of the developed special digital model of the passenger port are given. On the basis of the results of multi-scenario modeling, new results, proving that the introduction of cruise or ferry ships "priority" into the model by berths achieves the effect of increasing the throughput capacity, are obtained. Based on the presented modeling, the effectiveness of including a study based on gamma distribution is confirmed. The obtained results of multiscenario modeling with the allocation and implementation of "priority" in conjunction with the use of macro-level regional planning based on Circos intensity diagrams allow us to form a complete data set for multi-criteria analysis of changes in response to the influence of the external environment and assessment of the sea passenger port position in the sea region. The presented methodology, developed models on "prioritization" and modeling results can be applied to other maritime ports.