Counting Our Unexpected Natural Tragedies' Victims Act of 2018 or the COUNT Victims Act This bill directs the Federal Emergency Management Agency (FEMA) to contract with the National Academy of Medicine to conduct a study of matters concerning best practices in mortality counts as a result of a major disaster. A report on the study must be completed and transmitted to FEMA within two years after the contract date of September 30, 2018. The study shall address approaches to quantifying mortality and significant morbidity among populations affected by major disasters and shall include best practices and policy recommendations.