Cybersecurity Responsibility Act of 2017 This bill requires the Federal Communications Commission (FCC) to issue cybersecurity rules for communications networks (wireline or mobile telephone service, Internet access service, radio or television broadcasting, cable service, direct broadcast satellite service, or other communications service) to: (1) secure networks through managing, assessing, and prioritizing cyber risks and actions to reduce such risks; and (2) address the treatment of critical infrastructure information relating to such networks that is submitted to the FCC. The bill requires communications networks to be treated as critical infrastructure and protected systems under the Homeland Security Act of 2002. The FCC is subject to the same requirements as the Department of Homeland Security concerning the protection of critical infrastructure information relating to communications networks that is voluntarily submitted to the FCC.