Restoring Integrity to our Government Act - Prohibits a proposed significant regulatory action from being finalized unless it includes the reasons why the agency proposing it determined that it is a significant regulatory action.

Defines "significant regulatory action" as any regulatory action likely to result in a regulation that may: (1) have an annual effect on the economy of $100 million or more or adversely affect in a material way the economy, a sector of the economy, productivity, competition, jobs, the environment, public health or safety, or state, local, or tribal governments or communities; (2) create a serious inconsistency or otherwise interfere with an action taken or planned by another agency; (3) materially alter the budgetary impact of entitlements, grants, user fees, or loan programs or the rights and obligation of recipients thereof; (4) add to the national debt; or (5) raise novel legal or policy issues arising out of legal mandates, the President's priorities, or the principles set forth in this Act.