Support Tools to Obliterate Pesky Robocalls Act or the STOP Robocalls Act This bill provides measures to eliminate unlawful robocalls. Specifically, the bill requires the Federal Communications Commission (FCC) to establish a streamlined process whereby a private entity may voluntarily share information about unlawful robocalls or text messages and unlawful caller identification spoofing. In addition, the bill authorizes a telecommunications company to provide a free, opt-in robocall blocking service to its customers. The FCC must also study and report on whether a Voice Over Internet Protocol service should be required to provide the FCC with its contact information and retain records of all calls transmitted over the service.