November 2005 – Is appointed Senior Vice-Minister for Internal Affairs and Communications under Prime Minister Junichiro Koizumi.
2006-2007 – Is appointed Minister for Internal Affairs and Communications and Minister for Privatization of the Postal Services in the first Shinzo Abe cabinet.
December 2006-2007 – Minister of State for Decentralization Reform is added to his portfolio.
August 2007 – Suga is replaced as Minister of Internal Affairs and Communications, Minister for Privatization of the Postal Services and Minister of State for Decentralization Reform by Hiroya Masuda in a cabinet reshuffle.
2010 – Director, Committee on Rules and Administration, HR.
October 2011 – Chairman of the LDP Party Organization and Campaign Headquarters.
September 2012 – Executive Acting Secretary-General of the LDP.
December 2012 – Chief Cabinet Secretary Minister in charge of Strengthening National Security.
September 2014 – Given the additional title of Chief Cabinet Secretary Minister in charge of Alleviating the Burden of the Bases in Okinawa.
October 2018 – Is named minister in charge of the Abductions Issue, tasked with investigating the abduction of citizens by North Korea during the 1970s and 1980s.