Small Business Training in Federal Contracting Certification Act of 2010 - Amends the Office of Federal Procurement Policy Act to direct the Administrator for Federal Procurement Policy to establish a training certification program for federal contracting officers regarding small business government contracting set-aside programs, including: (1) programs for HUBZone (historically underutilized business zone) small businesses and small businesses owned and controlled by service-disabled veterans or women; (2) programs for socially and economically disadvantaged small businesses; and (3) contracting under the Small Business Innovation Research Program and the Small Business Technology Transfer Program.