A simple computer model of a feeling of causality of autonomous agents has been created and investigated in the current article. The model of the evolution of a population of agents is considered. The population includes agents of two kinds: 1) agents with a feeling of causality and 2) agents without such a feeling. Each agent has its internal resource. Agents with a feeling of causality remember causal relationships between situations in the external environment. It is shown that agents with a feeling of causality in the process of evolution can displace agents without a feeling of causality from the population. So, the current model can be considered as the model of origin of a feeling of causality.