Croatia was hit by a devastating earthquake in 2020, which was highly covered in the media. Such coverage in the media can result in information overload, and ultimately avoidance, which is a way of dealing with a stressful situation with the aim of ignoring the problem and is considered ineffective coping. Exposure to media coverage after a disaster is also related to the perception of the threat of danger. Research also supports the connection between threat perception and avoidance as a strategy for dealing with stress. The question arises whether in the relationship between exposure to media information after danger and avoidance as a coping strategy, threat perception is a mediator. Therefore, the aim of the study is to examine the relationship between exposure to media information about an earthquake and avoidance as a strategy for coping with stress, and what role the perception of the threat of an earthquake plays in this relationship. The research was conducted online during the summer of 2021 as part of a larger project. A purposive sample of Croatian citizens living in areas affected by the earthquake was used. There were 374 participants (70% women) aged 18 to 64. Measures of perceived threat, exposure to media information about the dangers after the earthquake, and avoidance as a strategy for dealing with stress were used. The results of the mediation analysis show that exposure to media information about dangers is a significant direct predictor of avoidance as a stress coping strategy. Threat perception was shown to be a significant mediator of the relationship between exposure to media information about dangers and avoidance as a strategy for dealing with stress. The paper has theoretical and practical contributions by providing guidelines for prevention and intervention strategies to reduce the negative impact of exposure to media information after a disaster.