Data Breach Prevention and Compensation Act of 2018 This bill creates the Office of Cybersecurity within the Federal Trade Commission (FTC) that, in part, must: supervise, evaluate, and regulate specified agencies' management of data security; examine agencies annually for compliance with regulations; investigate an agency in the event of a breach covered by the bill or suspected noncompliance with regulations, and report on any findings of such investigation; and coordinate with the National Institute of Standards and Technology and the National Cybersecurity and Communications Integration Center of the Department of Homeland Security. The office is authorized to: (1) investigate an agency's compliance with regulations regarding any data breach, and (2) enjoin an agency from violating specified regulations. Specified consumer reporting agencies, in part, must: provide the office with information relating to security measures, demonstrate reasonable data protection measures, and notify the FTC of a covered breach. The bill establishes civil penalties for violations and directs the FTC to enforce compliance.