[6] Promoted to lieutenant, from 1983 to 1994 Griggs completed a series of postings as navigating officer of HMA Ships Cessnock, Torrens, Tobruk, Jervis Bay and Perth.
[6] In October 2001 he assumed command of the ANZAC class frigate HMAS Arunta and was immediately involved in border protection duties as part of Operation RELEX.
In 2004 he studied at the National War College in Washington, D.C., prior to assuming command of the Australian Amphibious Task Group in mid-2005.
[6] In early 2009 he attended the UK Higher Command and Staff Course and was subsequently promoted to rear admiral and appointed as deputy head strategic reform and governance.
[6] Griggs handed over command of the Navy to Vice Admiral Tim Barrett during a ceremony on 30 June 2014, and succeeded Air Marshal Mark Binskin as VCDF that day.
[citation needed] On 15 January 2020, it was announced that Griggs would be one of the members of the National Co-design Group of the Indigenous voice to government.