Ab s t r a c t. The subject matter of the article are the processes of constructing explanations in intelligent systems. Objectives. The goal is to develop a temporal representation of causality in order to provide a description of the process of the intelligent system as part of the explanation, taking into account the temporal aspect. As a result, it provides an opportunity to increase user confidence in the results of the intelligent system. Tasks: structuring of causal dependences taking into account the decision-making process in the intellectual system and its state; development of a temporal model of causality for explanations in the intellectual system. The approaches used are: approaches to the description of causality between the elements of the system on the basis of causal relationships, on the basis of probabilistic dependencies, as well as on the basis of the physical interaction of its elements. The following results were obtained. The structuring of causal dependences for construction of explanations with allocation of causal, probabilistic communications, and also dependences between a condition of intellectual system and the recommendations received in this system is executed. A model of causal dependences in an intelligent system is proposed to construct explanations for the recommendations of this system. Conclusions. The scientific novelty of the results is as follows. The model of causal dependences which are intended for construction of the explanation in intellectual system is offered. This explanation consists of a chain of causal relationships that reflect the sequence of decision-making over time. The model covers the limitations and conditions of the formation of the result of the intelligent system. Constraints are represented by causal relationships between key performance actions. Restrictions must be true for all explanations where they are used. Conditions determine the probable relationships between such actions in the intellectual system. The model takes into account the influence of key parameters of the state of the intelligent system on the achievement of the result. The presented model provides an explanation with varying degrees of detail based on the definition of the temporal sequence of actions, as well as taking into account changes in the states of the intelligent system. K e ywor d s : intellectual system; explanations; explanations formation process; causal dependence; temporal dependence.