He became the Head of Division at the Defense Ministry in 2003-2004 until he was appointed as the Deputy Permanent Secretary of State for Defence from 2004-2008.

[2] While serving as Lieutenant General, Bisserup was on, 5 October 2009, appointed acting Chief of Defence in place of Admiral Tim Sloth Jørgensen.

Sloth Jørgensen stopped as Chief of Defence due to the case of an Arabic translation of Thomas Rathsack's book Jæger - I Krig med Eliten.

The day after Tim Sloth Jørgensen's departure, Bisserup announced he did not want to assume the post permanently as he preferred to continue as the Chief of Operations and Planning Staffs at Forsvarskommandoen.

[4] On 1 January 2012 Bisserup was again acting Chief of Defence, as Knud Bartels had to resign, to replace the Italian Admiral Giampaolo Di Paola as Chairman of the NATO Military Committee.