Background. Deep neural networks (DNNs) are widely investigated in medical image classification to achieve automated support for clinical diagnosis. It is necessary to evaluate the robustness of medical DNN tasks against adversarial attacks, as high-stake decision making will be made based on the diagnosis. Several previous studies have considered simple adversarial attacks. However, the vulnerability of DNNs to more realistic and higher risk attacks have not been evaluated yet, i.e., universal adversarial perturbation (UAP), which is a single perturbation that can induce DNN failure in most classification tasks.Methods. We focus on three representative DNN-based medical image classification tasks (i.e., skin cancer, referable diabetic retinopathy, and pneumonia classifications) and investigate their vulnerability of DNNs with various model architectures to UAPs.Results. We demonstrate that the DNNs are vulnerable to both nontargeted UAPs, which cause a task failure resulting in an input being assigned an incorrect class, and to targeted UAPs, which cause the DNN to classify an input into a specific class. The almost imperceptible UAPs achieved > 80% success rates for nontargeted and targeted attacks. The vulnerability to UAPs barely depended on model architecture. Moreover, we discovered that adversarial retraining, which is known to be an effective method for adversarial defenses, increased the robustness of DNNs against UAPs in only limited cases. Conclusion. Unlike previous assumptions, the results indicate that DNN-based clinical diagnosis is easier to deceive because of adversarial attacks. Adversaries can result in failed diagnoses at lower costs (e.g., without consideration of data distribution); moreover, they can affect the diagnosis. The effects of adversarial defenses may be not limited. Our findings emphasize that more careful consideration is required in developing DNNs for medical imaging and their practical applications.