Responsible Funding for First Responders Act of 2005

Responsible Funding for First Responders Act of 2005 - Amends the USA PATRIOT Act of 2001 to expand the permissible uses of terrorism-related grant funds for State and local first responders to include: (1) funding for training facilities; and (2) if 100 or more personnel are dedicated to counterterrorism and intelligence activities, reimbursement consistent with an approved State plan for personnel and units dedicated to such activities.

Requires grants for first responders to be awarded based on a quantitative assessment of risk for the categories of threat, vulnerability, and consequences.

Directs the Office for State and Local Domestic Preparedness Support to submit such quantitative assessments to Congress annually.